Spotify Data Analysis
Spotify Data Cluster Analysis
Executive Summary
Nowadays online music streaming is becoming dominant medium for individuals to tune in to their favorite songs, music streaming services are now able to gather a lot of data on the listening habits of their customers. These streaming services, like Spotify, Apple Music or Pandora, are using this data to provide recommendations to their listeners. Spotify is one of popular music platform. Every year, it launches the 50 most popular songs by singer, genre etc.
Problem We aim to study the various attributes of a song and predict the genre.
Methodology Broadly, we will be performing the following steps to accomplish the project objectives:
Perform Exploratory Data Analysis:
- Visulization of audio feaftures of different genres
- Correlation between features
- Popular artists within each genre
Generate Insights:
- Trends of popular features in the past decade
- Variability of characteristics across genres
Implement Clustering:
- Apply k-means clustering algorithm
- Apply hierachical clustering algorithm
- Use elbow curve which helps to find the optimum number of clusters
- Comparisons
Glossary of Song Terms
key - The estimated overall key of the track. Integers map to pitches using standard Pitch Class notation . E.g. 0 = C, 1 = C♯/D♭, 2 = D, and so on. If no key was detected, the value is -1.
mode - Mode indicates the modality (major or minor) of a track, the type of scale from which its melodic content is derived. Major is represented by 1 and minor is 0.
time_signature - An estimated overall time signature of a track. The time signature (meter) is a notational convention to specify how many beats are in each bar (or measure).
acousticness - A confidence measure from 0.0 to 1.0 of whether the track is acoustic. 1.0 represents high confidence the track is acoustic.
danceability - Danceability describes how suitable a track is for dancing based on a combination of musical elements including tempo, rhythm stability, beat strength, and overall regularity. A value of 0.0 is least danceable and 1.0 is most danceable.
energy - Energy is a measure from 0.0 to 1.0 and represents a perceptual measure of intensity and activity. Typically, energetic tracks feel fast, loud, and noisy. For example, death metal has high energy, while a Bach prelude scores low on the scale. Perceptual features contributing to this attribute include dynamic range, perceived loudness, timbre, onset rate, and general entropy.
instumentalness - Predicts whether a track contains no vocals. “Ooh” and “aah” sounds are treated as instrumental in this context. Rap or spoken word tracks are clearly “vocal”. The closer the instrumentalness value is to 1.0, the greater likelihood the track contains no vocal content. Values above 0.5 are intended to represent instrumental tracks, but confidence is higher as the value approaches 1.0.
liveness - Detects the presence of an audience in the recording. Higher liveness values represent an increased probability that the track was performed live. A value above 0.8 provides strong likelihood that the track is live
loudness - The overall loudness of a track in decibels (dB). Loudness values are averaged across the entire track and are useful for comparing relative loudness of tracks. Loudness is the quality of a sound that is the primary psychological correlate of physical strength (amplitude). Values typical range between -60 and 0 db.
speechiness - Speechiness detects the presence of spoken words in a track. The more exclusively speech-like the recording (e.g. talk show, audio book, poetry), the closer to 1.0 the attribute value. Values above 0.66 describe tracks that are probably made entirely of spoken words. Values between 0.33 and 0.66 describe tracks that may contain both music and speech, either in sections or layered, including such cases as rap music. Values below 0.33 most likely represent music and other non-speech-like track
valence - A measure from 0.0 to 1.0 describing the musical positiveness conveyed by a track. Tracks with high valence sound more positive (e.g. happy, cheerful, euphoric), while tracks with low valence sound more negative (e.g. sad, depressed, angry).
tempo - The overall estimated tempo of a track in beats per minute (BPM). In musical terminology, tempo is the speed or pace of a given piece and derives directly from the average beat duration.
Data Preparation
Loading Libraries
The following packages have been used for the analysis:
- dplyr : For data manipulation
- ggplot2 : For customizable graphical representation
- plotly : For interactive plots
- tidyverse : For data wrangling
- kableExtra : For building tables
- DT : For previewing the data sets
- corrplot : For visualizing the correlation plots
- gridExtra : For using addition functionalities in grid graphics
- treemap : For visualizing the treemap plots
- viridisLite : For generating the color vectors
- fmsb : For visualizing the radar plots
- cowplot : For providing addition functionalities to ggplot
- factoextra : For determine the optimal number clusters
- formattable : For more readable and impactful tabular formats
Data Set
Reading the data
spotify=read.csv('spotify_songs.csv', stringsAsFactors = FALSE)
head(spotify)Data Description
Data Description
var_desc<-c("Song unique ID","Song Name","Song Artist","Song Popularity (0-100) where higher is better","Album unique ID","Song album name","Date when album released","Name of playlist","Playlist ID","Playlist genre","Playlist subgenre","Danceability describes how suitable a track is for dancing based on a combination of musical elements including tempo, rhythm stability, beat strength, and overall regularity. A value of 0.0 is least danceable and 1.0 is most danceable.","Energy is a measure from 0.0 to 1.0 and represents a perceptual measure of intensity and activity. Typically, energetic tracks feel fast, loud, and noisy. For example, death metal has high energy, while a Bach prelude scores low on the scale. Perceptual features contributing to this attribute include dynamic range, perceived loudness, timbre, onset rate, and general entropy.","The estimated overall key of the track. Integers map to pitches using standard Pitch Class notation . E.g. 0 = C, 1 = C?/D?, 2 = D, and so on. If no key was detected, the value is -1.","The overall loudness of a track in decibels (dB). Loudness values are averaged across the entire track and are useful for comparing relative loudness of tracks. Loudness is the quality of a sound that is the primary psychological correlate of physical strength (amplitude). Values typical range between -60 and 0 db.","Mode indicates the modality (major or minor) of a track, the type of scale from which its melodic content is derived. Major is represented by 1 and minor is 0.","Speechiness detects the presence of spoken words in a track. The more exclusively speech-like the recording (e.g. talk show, audio book, poetry), the closer to 1.0 the attribute value. Values above 0.66 describe tracks that are probably made entirely of spoken words. Values between 0.33 and 0.66 describe tracks that may contain both music and speech, either in sections or layered, including such cases as rap music. Values below 0.33 most likely represent music and other non-speech-like tracks.","A confidence measure from 0.0 to 1.0 of whether the track is acoustic. 1.0 represents high confidence the track is acoustic.","Predicts whether a track contains no vocals. “Ooh” and “aah” sounds are treated as instrumental in this context. Rap or spoken word tracks are clearly “vocal”. The closer the instrumentalness value is to 1.0, the greater likelihood the track contains no vocal content. Values above 0.5 are intended to represent instrumental tracks, but confidence is higher as the value approaches 1.0.","Detects the presence of an audience in the recording. Higher liveness values represent an increased probability that the track was performed live. A value above 0.8 provides strong likelihood that the track is live.","A measure from 0.0 to 1.0 describing the musical positiveness conveyed by a track. Tracks with high valence sound more positive (e.g. happy, cheerful, euphoric), while tracks with low valence sound more negative (e.g. sad, depressed, angry).","The overall estimated tempo of a track in beats per minute (BPM). In musical terminology, tempo is the speed or pace of a given piece and derives directly from the average beat duration.","Duration of song in milliseconds")
spotify.type<-lapply(spotify,class)
var_names<-colnames(spotify)
data.desc<-as_tibble(cbind(var_names,spotify.type,var_desc))
kable(data.desc)| var_names | spotify.type | var_desc |
|---|---|---|
| track_id | character | Song unique ID |
| track_name | character | Song Name |
| track_artist | character | Song Artist |
| track_popularity | integer | Song Popularity (0-100) where higher is better |
| track_album_id | character | Album unique ID |
| track_album_name | character | Song album name |
| track_album_release_date | character | Date when album released |
| playlist_name | character | Name of playlist |
| playlist_id | character | Playlist ID |
| playlist_genre | character | Playlist genre |
| playlist_subgenre | character | Playlist subgenre |
| danceability | numeric | Danceability describes how suitable a track is for dancing based on a combination of musical elements including tempo, rhythm stability, beat strength, and overall regularity. A value of 0.0 is least danceable and 1.0 is most danceable. |
| energy | numeric | Energy is a measure from 0.0 to 1.0 and represents a perceptual measure of intensity and activity. Typically, energetic tracks feel fast, loud, and noisy. For example, death metal has high energy, while a Bach prelude scores low on the scale. Perceptual features contributing to this attribute include dynamic range, perceived loudness, timbre, onset rate, and general entropy. |
| key | integer | The estimated overall key of the track. Integers map to pitches using standard Pitch Class notation . E.g. 0 = C, 1 = C?/D?, 2 = D, and so on. If no key was detected, the value is -1. |
| loudness | numeric | The overall loudness of a track in decibels (dB). Loudness values are averaged across the entire track and are useful for comparing relative loudness of tracks. Loudness is the quality of a sound that is the primary psychological correlate of physical strength (amplitude). Values typical range between -60 and 0 db. |
| mode | integer | Mode indicates the modality (major or minor) of a track, the type of scale from which its melodic content is derived. Major is represented by 1 and minor is 0. |
| speechiness | numeric | Speechiness detects the presence of spoken words in a track. The more exclusively speech-like the recording (e.g. talk show, audio book, poetry), the closer to 1.0 the attribute value. Values above 0.66 describe tracks that are probably made entirely of spoken words. Values between 0.33 and 0.66 describe tracks that may contain both music and speech, either in sections or layered, including such cases as rap music. Values below 0.33 most likely represent music and other non-speech-like tracks. |
| acousticness | numeric | A confidence measure from 0.0 to 1.0 of whether the track is acoustic. 1.0 represents high confidence the track is acoustic. |
| instrumentalness | numeric | Predicts whether a track contains no vocals. “Ooh” and “aah” sounds are treated as instrumental in this context. Rap or spoken word tracks are clearly “vocal”. The closer the instrumentalness value is to 1.0, the greater likelihood the track contains no vocal content. Values above 0.5 are intended to represent instrumental tracks, but confidence is higher as the value approaches 1.0. |
| liveness | numeric | Detects the presence of an audience in the recording. Higher liveness values represent an increased probability that the track was performed live. A value above 0.8 provides strong likelihood that the track is live. |
| valence | numeric | A measure from 0.0 to 1.0 describing the musical positiveness conveyed by a track. Tracks with high valence sound more positive (e.g. happy, cheerful, euphoric), while tracks with low valence sound more negative (e.g. sad, depressed, angry). |
| tempo | numeric | The overall estimated tempo of a track in beats per minute (BPM). In musical terminology, tempo is the speed or pace of a given piece and derives directly from the average beat duration. |
| duration_ms | integer | Duration of song in milliseconds |
Summary Statistics of the data
str(spotify)## 'data.frame': 32833 obs. of 23 variables:
## $ track_id : chr "6f807x0ima9a1j3VPbc7VN" "0r7CVbZTWZgbTCYdfa2P31" "1z1Hg7Vb0AhHDiEmnDE79l" "75FpbthrwQmzHlBJLuGdC7" ...
## $ track_name : chr "I Don't Care (with Justin Bieber) - Loud Luxury Remix" "Memories - Dillon Francis Remix" "All the Time - Don Diablo Remix" "Call You Mine - Keanu Silva Remix" ...
## $ track_artist : chr "Ed Sheeran" "Maroon 5" "Zara Larsson" "The Chainsmokers" ...
## $ track_popularity : int 66 67 70 60 69 67 62 69 68 67 ...
## $ track_album_id : chr "2oCs0DGTsRO98Gh5ZSl2Cx" "63rPSO264uRjW1X5E6cWv6" "1HoSmj2eLcsrR0vE9gThr4" "1nqYsOef1yKKuGOVchbsk6" ...
## $ track_album_name : chr "I Don't Care (with Justin Bieber) [Loud Luxury Remix]" "Memories (Dillon Francis Remix)" "All the Time (Don Diablo Remix)" "Call You Mine - The Remixes" ...
## $ track_album_release_date: chr "2019-06-14" "2019-12-13" "2019-07-05" "2019-07-19" ...
## $ playlist_name : chr "Pop Remix" "Pop Remix" "Pop Remix" "Pop Remix" ...
## $ playlist_id : chr "37i9dQZF1DXcZDD7cfEKhW" "37i9dQZF1DXcZDD7cfEKhW" "37i9dQZF1DXcZDD7cfEKhW" "37i9dQZF1DXcZDD7cfEKhW" ...
## $ playlist_genre : chr "pop" "pop" "pop" "pop" ...
## $ playlist_subgenre : chr "dance pop" "dance pop" "dance pop" "dance pop" ...
## $ danceability : num 0.748 0.726 0.675 0.718 0.65 0.675 0.449 0.542 0.594 0.642 ...
## $ energy : num 0.916 0.815 0.931 0.93 0.833 0.919 0.856 0.903 0.935 0.818 ...
## $ key : int 6 11 1 7 1 8 5 4 8 2 ...
## $ loudness : num -2.63 -4.97 -3.43 -3.78 -4.67 ...
## $ mode : int 1 1 0 1 1 1 0 0 1 1 ...
## $ speechiness : num 0.0583 0.0373 0.0742 0.102 0.0359 0.127 0.0623 0.0434 0.0565 0.032 ...
## $ acousticness : num 0.102 0.0724 0.0794 0.0287 0.0803 0.0799 0.187 0.0335 0.0249 0.0567 ...
## $ instrumentalness : num 0.00 4.21e-03 2.33e-05 9.43e-06 0.00 0.00 0.00 4.83e-06 3.97e-06 0.00 ...
## $ liveness : num 0.0653 0.357 0.11 0.204 0.0833 0.143 0.176 0.111 0.637 0.0919 ...
## $ valence : num 0.518 0.693 0.613 0.277 0.725 0.585 0.152 0.367 0.366 0.59 ...
## $ tempo : num 122 100 124 122 124 ...
## $ duration_ms : int 194754 162600 176616 169093 189052 163049 187675 207619 193187 253040 ...dim(spotify)## [1] 32833 23spotify<-spotify %>% mutate(track_year=substr(spotify$track_album_release_date, 1, 4))
spotify$track_year <- as.numeric(spotify$track_year)
head(spotify)summary(spotify)## track_id track_name track_artist track_popularity
## Length:32833 Length:32833 Length:32833 Min. : 0.00
## Class :character Class :character Class :character 1st Qu.: 24.00
## Mode :character Mode :character Mode :character Median : 45.00
## Mean : 42.48
## 3rd Qu.: 62.00
## Max. :100.00
## track_album_id track_album_name track_album_release_date
## Length:32833 Length:32833 Length:32833
## Class :character Class :character Class :character
## Mode :character Mode :character Mode :character
##
##
##
## playlist_name playlist_id playlist_genre
## Length:32833 Length:32833 Length:32833
## Class :character Class :character Class :character
## Mode :character Mode :character Mode :character
##
##
##
## playlist_subgenre danceability energy key
## Length:32833 Min. :0.0000 Min. :0.000175 Min. : 0.000
## Class :character 1st Qu.:0.5630 1st Qu.:0.581000 1st Qu.: 2.000
## Mode :character Median :0.6720 Median :0.721000 Median : 6.000
## Mean :0.6548 Mean :0.698619 Mean : 5.374
## 3rd Qu.:0.7610 3rd Qu.:0.840000 3rd Qu.: 9.000
## Max. :0.9830 Max. :1.000000 Max. :11.000
## loudness mode speechiness acousticness
## Min. :-46.448 Min. :0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.: -8.171 1st Qu.:0.0000 1st Qu.:0.0410 1st Qu.:0.0151
## Median : -6.166 Median :1.0000 Median :0.0625 Median :0.0804
## Mean : -6.720 Mean :0.5657 Mean :0.1071 Mean :0.1753
## 3rd Qu.: -4.645 3rd Qu.:1.0000 3rd Qu.:0.1320 3rd Qu.:0.2550
## Max. : 1.275 Max. :1.0000 Max. :0.9180 Max. :0.9940
## instrumentalness liveness valence tempo
## Min. :0.0000000 Min. :0.0000 Min. :0.0000 Min. : 0.00
## 1st Qu.:0.0000000 1st Qu.:0.0927 1st Qu.:0.3310 1st Qu.: 99.96
## Median :0.0000161 Median :0.1270 Median :0.5120 Median :121.98
## Mean :0.0847472 Mean :0.1902 Mean :0.5106 Mean :120.88
## 3rd Qu.:0.0048300 3rd Qu.:0.2480 3rd Qu.:0.6930 3rd Qu.:133.92
## Max. :0.9940000 Max. :0.9960 Max. :0.9910 Max. :239.44
## duration_ms track_year
## Min. : 4000 Min. :1957
## 1st Qu.:187819 1st Qu.:2008
## Median :216000 Median :2016
## Mean :225800 Mean :2011
## 3rd Qu.:253585 3rd Qu.:2019
## Max. :517810 Max. :2020Checking Data Quality
# percentage of missing data in each columns
round(colSums(is.na(spotify)*100/nrow(spotify)),2)## track_id track_name track_artist
## 0.00 0.02 0.02
## track_popularity track_album_id track_album_name
## 0.00 0.00 0.02
## track_album_release_date playlist_name playlist_id
## 0.00 0.00 0.00
## playlist_genre playlist_subgenre danceability
## 0.00 0.00 0.00
## energy key loudness
## 0.00 0.00 0.00
## mode speechiness acousticness
## 0.00 0.00 0.00
## instrumentalness liveness valence
## 0.00 0.00 0.00
## tempo duration_ms track_year
## 0.00 0.00 0.00library(DataExplorer)## Warning: package 'DataExplorer' was built under R version 3.6.2plot_missing(spotify)
Missing values treatment We can observe that there are 5 missing values in the columns ‘track_name’, ‘track_artist’ and ‘track_album_name’ in our dataset. Since these 5 records correspond to just 0.00015% of the dataset so, we would remove these observations with missing values from our dataset from further analysis.
#checking for duplicate rows
spotify[!duplicated(spotify[1:23]),]There are no duplicate rows present in the dataset.
Clean Data
DT::datatable(head(spotify,1000),options = list(
pageLength=5, scrollX = T,autoWidth = TRUE),class = 'cell-border stripe')#counting the number of songs by genre
spotify %>% count(playlist_genre)Exploratory Data Analysis
To begin our analysis, we simply wanted to plot the proportion of playlist genres accoss our dataset. The below plot depicts the required proportion in Spotify data.
Proportion of playlist genres
songs_clean_pie_data <- spotify %>%
group_by(playlist_genre) %>%
summarise(Total_number_of_tracks = length(playlist_genre))
ggplot(songs_clean_pie_data, aes(x="", y=Total_number_of_tracks, fill=playlist_genre)) +
geom_bar(width = 1, stat = "identity") +
coord_polar("y", start=0) +
geom_text(aes(label = paste(round(Total_number_of_tracks / sum(Total_number_of_tracks) * 100, 1), "%")),
position = position_stack(vjust = 0.5))
It appears that our Spotify dataset is somewhat uniformly distributed across playlist genres with each genre having 15-18% records each. EDM has the highest proportion of genres with 18.4%.
top_genre <- spotify %>% select(playlist_genre, track_artist, track_popularity) %>% group_by(playlist_genre,track_artist) %>% summarise(n = n()) %>% top_n(15, n)
tm <- treemap(top_genre, index = c("playlist_genre", "track_artist"), vSize = "n", vColor = 'playlist_genre', palette = viridis(6),title="Top 15 Track Artists within each Playlist Genre")
Above, treemap depicts top 15 track artists with in each of the 6 playlist genre. The size of the boxes in treemap corresponds to the count tracks for the artists. For genre edm, rock, pop, rap, latin and r&b, the top track artist are Martin Garrix, Queen, The Chainsmoker, Logic, Don Omar and Bobby Brown respectively.
#plotting the distribution of years of tracks
dance1<-ggplot(spotify, aes(danceability)) +
geom_histogram(bins = 20) +
ggtitle("Plot of Danceability Distribution") +
theme(plot.title = element_text(size = 11))
#plotting the distribution of energy of tracks
energy2<-ggplot(spotify, aes(energy)) +
geom_histogram(bins = 20) +
ggtitle("Plot of energy Distribution") +
theme(plot.title = element_text(size = 11))
#ploting the distribution of loudness of tracks
loud3<-ggplot(spotify, aes(loudness)) +
geom_histogram(bins = 20) +
ggtitle("Plot of loudness Distribution") +
theme(plot.title = element_text(size = 11))
#plotting the speechness of years of tracks
speech4 <- ggplot(spotify, aes(speechiness)) +
geom_histogram(bins = 20) +
ggtitle("Plot of speechiness Distribution") +
theme(plot.title = element_text(size = 11))
plot_grid(dance1, energy2, loud3,speech4, labels = "AUTO")
#plotting the liveness of years of tracks
live5<-ggplot(spotify, aes(liveness)) +
geom_histogram(bins = 20) +
ggtitle("Plot of liveness Distribution") +
theme(plot.title = element_text(size = 11))
#plotting the instrumentalness of years of tracks
instrument6<-ggplot(spotify, aes(instrumentalness)) +
geom_histogram(bins = 20) +
ggtitle("Plot of instrumentalness Distribution") +
theme(plot.title = element_text(size = 11))
#plotting the valence(positivity) of years of tracks
valence7<-ggplot(spotify, aes(valence)) +
geom_histogram(bins = 20) +
ggtitle("Plot of valence Distribution") +
theme(plot.title = element_text(size = 11))
#plotting the tempo of years of tracks
tempo8<-ggplot(spotify, aes(tempo)) +
geom_histogram(bins = 20) +
ggtitle("Plot of tempo Distribution") +
theme(plot.title = element_text(size = 11))
plot_grid(live5, instrument6, valence7,tempo8, labels = "AUTO")
songs_correlation <- cor(numeric_features)
corrplot(songs_correlation, type = "upper", tl.srt = 45)
It appears that energy and loudness are highly positively correlated while, energy and acousticness are highly negatively correlated with each other.
Also, loudenss & acousticness, valence & danceability, loudenss & year and duration_ms & year are moderatly correlated with each other.
Density plots
#plotting the distribution of years of tracks
ggplot(spotify, aes(track_year, fill=playlist_genre)) +
geom_density(alpha = 0.3) + theme_bw() +
ggtitle("Plot of Track year Distribution") +
theme(plot.title = element_text(size = 11))
Rock originated somewhere around 1960s and rap around 1980s wheras pop and edm are more recent genres of music.
#plotting the distribution of tempo of tracks
ggplot(spotify, aes(tempo, fill=playlist_genre)) +
geom_density(alpha = 0.3) + theme_bw() +
ggtitle("Plot of tempo Distribution") +
theme(plot.title = element_text(size = 11))
As expected tempo of edm songs are the highest.
#plotting the popularity of tracks according to genre
ggplot(spotify, aes(x=playlist_genre, y=track_popularity, fill=playlist_genre)) +
geom_bar(stat="identity")
ggtitle("Plot of tempo Distribution") +
theme(plot.title = element_text(size = 11))## NULL#counting the number of songs by their popularity ranking.
spotify %>% count(track_popularity)# Popularity - Top 10 songs
popular_df <- spotify %>%
select(track_album_name, track_popularity, track_artist) %>%
group_by(track_artist, track_album_name, track_popularity)%>%
summarise(n = n())%>%
arrange(desc(track_popularity))%>%
head(20)
hpolar('Popularity - Top 20 songs', popular_df$track_album_name, popular_df$track_popularity,'popularity')popular_df[,-4]Most popular artists
spotify %>%
group_by(track_artist) %>%
summarise(freq = n()) %>%
arrange(desc(freq)) %>%
slice(12:25) %>%
ggplot(., aes(reorder(track_artist, +freq), freq))+
geom_bar(stat = "identity", fill = "deepskyblue3", col = "grey20")+
coord_flip()+
labs(x = "" ,y = "Number of songs in Top 100", title = "Most popular artists")+
geom_text(aes(label = freq, y = freq/2), size = 5)
#plotting the distribution of tempo vs duration according to genre of tracks
ggplot(spotify, aes(duration_ms, fill=playlist_genre)) +
geom_density(alpha = 0.3) + theme_bw() +
ggtitle("Plot of tempo Distribution") +
theme(plot.title = element_text(size = 11))
ggplot(spotify, aes(x=loudness, y=track_popularity)) +
geom_point(alpha = 0.3, color="blue") + theme_bw() +
ggtitle("Plot of tempo Distribution") +
theme(plot.title = element_text(size = 11))
pairs.panels(spotify[c("track_popularity","danceability","energy","key","loudness","mode", "speechiness", "acousticness","instrumentalness","liveness","valence","tempo" )],hist.col = "green",gap=0)
Data Wrangling
features <-as.data.frame(spotify[,c(4,10,12:24)])
head(features)#features<-features[,-2]
features2<-featuresKmeans Clustering
K-means Clustering is an unsupervised meachine learning algorithm. It groups similar datapoints together and discrovers underlying patterns, by identifying a fixed nummber (K) clusters in dataset. ‘Means’ refers to the averaging of the data .e. finding the clusters. K is defined as the number of centroids we need in the dataset. A centroid is an imaginary or real location representing teh center of the cluster.
Process: Starts with the first group of randomly selected centroids- which are the beginning points.
Performs iterative(repititive) calculations to optimize the poistions of clusters.
The process stops when the centroids are stabilized and the values don’t change with further iterations or when the defined number of iterations are reached.
The bigger the value of K, the lower will be the variance within the groups in the clustering. If K is equal to the number of observations, then each point will be a group and the variance will be 0. It’s necessary to find an optimum number of clusters. variance within a group means how different the members of the group are. A large variance shows that there’s more dissimilarity in the groups.
set.seed(13383610)
input <- features[,c(1,3:15)]
kmeans_fit<-kmeans(input, centers = 6, nstart = 20)
kmeans_fit## K-means clustering with 6 clusters of sizes 3952, 9713, 10009, 770, 2567, 5822
##
## Cluster means:
## track_popularity danceability energy key loudness mode
## 1 45.06705 0.6874965 0.6597303 5.362854 -7.180794 0.5521255
## 2 43.42242 0.6514093 0.7058206 5.358283 -6.462873 0.5724287
## 3 45.38945 0.6610988 0.7156010 5.318413 -6.119181 0.5557998
## 4 29.24416 0.6237039 0.6981688 5.615584 -8.533404 0.5909091
## 5 34.38294 0.6349583 0.6828755 5.499805 -7.740881 0.5601870
## 6 39.45397 0.6405740 0.6908099 5.418585 -7.176312 0.5798695
## speechiness acousticness instrumentalness liveness valence tempo
## 1 0.13435276 0.2293649 0.15636500 0.1889445 0.5035722 120.7604
## 2 0.10244247 0.1712752 0.05440107 0.1873416 0.5209579 120.3948
## 3 0.10694191 0.1675136 0.06137994 0.1917949 0.5086273 121.7934
## 4 0.07849636 0.1293902 0.30809097 0.1907318 0.4205268 122.4738
## 5 0.10214686 0.1560159 0.14403524 0.1980901 0.4921767 120.5173
## 6 0.10242963 0.1734660 0.07125234 0.1893956 0.5212974 120.1560
## duration_ms track_year
## 1 145453.6 2015.317
## 2 225887.4 2011.253
## 3 189717.3 2014.817
## 4 430770.8 2004.262
## 5 329232.7 2004.227
## 6 269511.3 2005.737
##
## Clustering vector:
## [1] 3 1 3 3 3 1 3 3 3 6 2 3 3 1 6 3 3 3 1 3 2 3 2 3 3 3 3 3 1 1 3 3 3 3
## [35] 2 3 3 3 2 2 3 2 1 3 3 2 1 3 3 1 3 6 3 3 3 2 3 1 6 2 2 3 3 2 3 6 6 2
## [69] 3 2 2 3 1 1 3 2 2 3 3 2 2 2 3 2 2 3 3 3 2 3 3 2 3 1 1 3 1 2 3 2 3 3
## [103] 2 3 1 3 3 3 3 6 3 3 2 3 3 2 2 3 3 1 2 3 3 1 3 2 1 3 1 2 2 3 2 2 2 6
## [137] 2 2 3 2 2 2 2 3 2 2 2 2 6 3 2 2 6 3 3 2 2 3 2 2 2 2 2 2 6 2 2 2 3 2
## [171] 1 3 1 3 3 1 1 3 3 3 3 2 3 6 3 1 3 3 1 3 2 1 3 3 3 2 3 3 3 2 1 1 6 3
## [205] 2 3 1 3 2 2 1 3 1 3 1 1 3 1 2 3 3 1 2 3 2 3 3 3 3 3 1 3 2 3 3 3 1 3
## [239] 2 2 3 3 1 3 3 3 2 3 3 3 1 3 2 3 3 1 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 2
## [273] 3 3 3 3 3 3 3 3 1 6 3 1 2 3 3 1 3 3 3 3 3 1 3 2 2 3 2 2 1 1 1 3 3 3
## [307] 3 3 3 3 3 3 2 3 2 2 3 3 2 1 2 2 1 3 1 3 3 3 1 2 2 2 2 3 3 3 2 2 3 3
## [341] 1 3 3 2 3 3 3 1 3 3 6 3 3 1 3 3 1 2 2 1 3 3 2 2 2 3 3 3 3 3 3 2 6 6
## [375] 3 3 1 3 2 2 2 2 2 2 3 1 2 3 2 3 3 2 6 2 2 2 2 3 2 1 2 6 3 2 2 3 3 2
## [409] 2 3 2 2 3 2 3 6 2 2 1 5 1 6 2 2 1 6 2 2 2 2 3 2 1 2 2 2 2 3 3 3 2 3
## [443] 2 3 2 3 3 6 3 2 3 3 1 2 2 3 2 2 3 2 3 2 2 2 3 1 2 2 2 2 3 3 3 2 3 2
## [477] 3 3 3 2 3 3 3 6 2 2 3 3 3 3 2 3 3 3 3 3 2 2 3 2 3 3 5 3 2 3 3 3 3 6
## [511] 2 3 3 3 2 2 3 6 2 3 6 2 3 3 3 6 3 3 3 1 3 2 2 2 3 2 6 3 2 2 3 3 1 3
## [545] 3 1 3 3 3 3 2 1 2 3 3 3 3 3 3 3 3 6 3 3 3 2 3 3 1 3 6 1 3 2 3 1 2 3
## [579] 6 2 1 3 2 3 3 3 2 2 2 5 3 3 2 3 3 3 5 3 2 6 2 2 3 2 6 6 3 3 2 3 3 3
## [613] 3 1 1 2 2 1 3 3 1 3 3 3 1 1 2 1 3 3 3 3 3 3 3 3 3 3 2 1 3 1 1 3 3 3
## [647] 1 1 1 1 1 1 3 3 2 3 1 1 2 1 3 3 1 3 3 3 2 1 1 3 3 3 1 3 3 3 2 3 1 3
## [681] 3 1 2 1 2 1 3 3 2 2 3 2 3 3 2 2 3 3 2 3 5 3 5 2 2 2 2 6 1 3 3 3 2 6
## [715] 3 3 3 3 3 3 3 1 3 2 3 2 3 3 1 3 3 1 3 1 2 2 1 3 3 3 6 3 2 3 6 3 2 2
## [749] 2 2 2 6 3 6 2 2 2 6 2 5 2 2 2 6 2 2 3 3 2 2 2 3 2 6 2 3 2 3 2 2 2 2
## [783] 6 3 3 6 2 3 2 3 6 2 2 2 3 2 2 5 6 2 2 2 2 3 2 2 6 2 2 2 2 6 3 2 3 2
## [817] 2 2 3 6 2 3 2 2 2 2 6 2 2 2 2 3 5 2 2 6 2 4 6 5 2 2 5 2 2 2 2 2 3 2
## [851] 3 2 3 3 3 3 2 3 3 6 2 2 3 2 2 2 2 1 2 2 3 3 3 2 3 2 3 2 2 3 1 6 2 3
## [885] 3 1 2 3 2 2 2 3 3 2 1 2 2 2 3 3 4 3 6 3 3 3 3 1 3 3 2 2 2 2 3 3 3 6
## [919] 2 3 3 2 2 1 3 3 3 3 3 3 3 3 1 1 6 3 3 2 3 3 3 2 3 2 3 3 2 3 3 1 1 3
## [953] 3 1 3 3 3 2 3 3 2 2 3 1 2 3 3 1 3 3 1 3 2 3 3 2 3 3 6 6 5 3 3 3 5 3
## [987] 6 6 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 2 4 3 2 3 2 6 3 3 2 3 3 2 1 2 2 2
## [1021] 3 3 3 2 3 2 3 2 3 2 3 3 1 3 3 6 2 3 3 1 3 3 3 3 3 2 3 3 2 2 2 3 3 3
## [1055] 3 6 2 2 3 3 1 2 2 3 3 2 3 2 6 2 2 6 2 3 6 4 2 3 2 3 3 5 3 6 2 2 1 3
## [1089] 6 5 5 3 2 5 6 5 2 6 6 2 2 2 2 6 5 3 3 6 6 4 3 2 3 1 3 5 3 2 6 2 2 3
## [1123] 3 1 2 2 6 6 6 4 5 5 1 6 2 5 3 2 6 6 6 6 1 2 2 3 2 6 6 5 2 3 3 3 2 2
## [1157] 5 3 3 4 5 3 2 6 2 3 2 3 2 2 1 2 2 2 2 3 1 2 3 3 3 3 6 6 3 3 2 3 3 3
## [1191] 3 6 6 2 1 2 6 2 2 1 3 6 6 2 1 3 2 3 6 2 2 2 2 2 2 1 6 2 2 1 2 2 3 5
## [1225] 2 1 2 2 2 6 3 2 1 3 3 2 2 1 1 3 3 6 1 6 3 2 3 3 2 2 3 2 1 3 2 2 3 2
## [1259] 2 2 3 3 2 3 2 2 3 3 2 2 2 2 2 2 2 6 2 4 3 2 3 2 3 6 3 3 2 2 2 2 3 2
## [1293] 2 1 3 1 6 2 2 3 3 2 3 3 3 3 3 2 1 3 1 3 1 1 3 3 3 3 5 3 3 3 3 2 1 1
## [1327] 6 1 6 1 2 2 3 6 1 3 2 3 5 3 2 3 3 1 3 2 1 3 2 2 2 3 1 2 1 3 3 3 3 3
## [1361] 2 1 3 1 1 3 3 3 2 1 3 2 1 3 2 6 1 3 3 2 3 6 1 2 2 3 2 1 2 3 2 2 3 3
## [1395] 3 2 3 3 3 3 2 3 3 3 2 3 2 2 2 2 3 3 3 3 6 2 2 3 2 2 3 3 6 3 3 2 3 2
## [1429] 3 3 2 2 3 3 3 3 2 2 3 2 2 6 3 3 3 3 2 3 2 2 3 3 2 2 2 1 3 6 2 1 1 3
## [1463] 3 3 3 3 3 6 2 3 1 2 2 2 3 3 3 6 3 3 3 3 3 3 2 1 3 6 3 2 2 3 2 3 3 3
## [1497] 3 3 3 3 1 1 3 3 3 3 3 2 2 1 3 2 1 3 6 3 1 1 1 3 3 2 3 3 3 3 3 2 3 2
## [1531] 1 1 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 2 3 2 3 3 3 3 2 2
## [1565] 1 3 3 2 3 1 3 3 3 3 3 3 3 1 3 2 2 3 3 6 2 2 2 6 2 2 2 6 2 3 3 2 6 3
## [1599] 2 6 2 3 6 2 2 3 3 3 2 3 3 3 5 3 6 6 2 2 2 3 1 3 6 1 3 3 3 3 2 6 3 3
## [1633] 2 2 3 6 2 3 5 5 3 3 2 3 3 1 3 3 2 3 3 3 3 2 2 3 2 3 2 3 2 3 6 3 2 6
## [1667] 3 2 3 2 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 2 3 2 3 3
## [1701] 3 2 3 3 2 2 3 1 3 1 3 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 3 2 2 3 3 2 2 3
## [1735] 2 2 6 3 2 1 2 3 2 3 3 3 6 2 6 3 2 2 6 6 2 3 2 1 6 3 3 1 2 2 2 2 2 6
## [1769] 2 2 2 2 2 6 3 2 2 3 2 3 6 3 3 3 3 3 3 3 1 2 2 2 3 2 3 3 3 3 3 3 3 3
## [1803] 1 2 3 3 2 3 3 2 3 2 3 2 2 2 2 3 2 3 3 3 3 2 2 3 1 3 3 2 3 3 2 3 3 6
## [1837] 2 6 2 2 3 3 3 1 3 6 3 3 5 1 3 3 3 2 2 3 3 3 2 2 3 1 3 6 1 2 3 2 2 3
## [1871] 5 2 3 6 3 2 3 3 3 2 2 6 3 3 3 2 6 3 3 2 3 3 6 2 2 3 3 3 2 3 3 2 3 6
## [1905] 2 6 1 5 5 2 2 5 6 2 2 2 3 3 3 3 3 3 3 6 2 6 6 1 2 5 6 3 1 5 2 6 2 2
## [1939] 2 3 6 2 3 6 2 6 3 2 5 2 3 2 2 2 5 3 3 2 6 2 6 6 6 2 4 6 6 6 2 2 3 2
## [1973] 2 3 3 1 1 3 2 3 3 3 2 1 3 3 2 1 3 2 2 1 2 1 3 2 3 2 3 3 3 3 2 3 3 3
## [2007] 3 1 1 1 3 3 3 2 3 2 3 3 3 3 3 2 1 2 3 1 1 3 3 3 1 3 2 1 2 1 3 1 1 3
## [2041] 2 3 3 3 3 3 2 2 6 1 6 3 3 3 3 3 1 1 3 3 3 3 2 3 1 6 2 2 2 2 3 2 6 2
## [2075] 3 3 2 2 3 2 2 2 2 1 3 2 2 2 3 2 3 2 2 2 2 2 6 2 3 3 3 3 3 3 2 3 6 6
## [2109] 2 3 2 2 2 3 6 2 2 6 2 2 6 3 2 2 2 2 2 1 2 3 2 2 6 6 2 6 3 3 3 2 5 3
## [2143] 2 3 3 2 2 6 2 2 6 3 2 3 3 1 3 6 2 6 3 3 3 2 6 2 3 6 3 3 2 3 6 2 6 6
## [2177] 6 6 3 6 6 3 2 3 2 3 2 2 3 3 2 6 2 2 3 6 1 5 6 3 2 2 3 3 3 2 3 2 3 2
## [2211] 3 2 3 3 3 3 3 3 3 3 2 2 3 2 3 3 2 1 2 2 3 2 3 2 2 6 2 2 3 2 3 3 3 3
## [2245] 2 3 3 2 3 2 2 2 1 1 3 6 3 2 2 2 2 2 5 1 1 3 3 1 3 2 2 3 3 1 2 3 2 1
## [2279] 1 3 3 2 3 3 3 2 1 2 3 3 2 2 1 3 3 3 3 3 3 3 2 3 2 3 3 3 3 2 3 3 2 3
## [2313] 3 3 6 2 6 2 3 2 2 3 2 2 3 2 6 2 2 3 2 2 3 1 6 2 6 3 2 2 2 6 3 6 3 3
## [2347] 2 3 1 2 3 6 2 2 6 2 6 2 2 2 3 2 6 2 2 2 3 6 2 2 2 2 2 2 3 3 2 2 3 3
## [2381] 3 2 2 2 3 2 2 2 2 2 4 6 3 2 2 2 3 2 3 2 2 3 6 3 2 2 3 2 2 3 3 2 2 2
## [2415] 2 6 3 3 3 2 2 2 3 2 3 2 3 2 6 3 2 2 2 2 2 6 2 5 5 1 2 3 3 3 3 3 6 2
## [2449] 3 6 2 2 2 3 6 3 2 2 3 1 3 2 5 6 3 6 2 2 2 2 1 3 6 2 1 3 4 2 2 2 2 1
## [2483] 6 3 2 6 2 2 3 2 2 2 2 6 2 2 2 2 3 2 2 3 2 2 3 3 3 3 2 2 3 2 2 3 2 3
## [2517] 2 1 2 2 3 3 2 2 3 2 3 2 3 2 6 2 3 3 2 2 2 2 3 3 2 2 3 2 2 3 2 2 2 2
## [2551] 3 2 3 2 2 2 2 2 2 3 2 3 2 3 2 2 2 3 3 2 2 2 6 3 2 3 2 2 3 1 3 3 2 1
## [2585] 2 3 3 3 3 2 3 3 2 3 3 2 3 2 2 3 3 1 3 1 2 3 6 2 3 3 2 3 3 2 2 3 1 2
## [2619] 3 3 2 1 3 3 3 3 3 1 3 1 5 3 3 3 3 2 3 2 3 2 2 2 3 3 3 2 3 2 2 2 3 3
## [2653] 3 3 3 3 3 3 2 3 3 3 6 1 1 3 3 3 6 3 1 2 3 2 2 3 3 2 2 5 2 5 2 4 1 2
## [2687] 2 2 6 3 1 3 3 2 3 3 2 2 3 3 2 3 6 2 3 6 3 3 6 2 2 2 2 2 2 3 3 3 3 2
## [2721] 2 2 2 2 2 3 3 2 3 2 2 3 6 3 3 2 6 2 2 6 3 3 2 2 3 6 6 3 3 2 2 2 2 3
## [2755] 6 2 2 6 6 2 6 6 3 2 2 2 6 2 2 2 6 5 2 5 2 2 2 2 6 2 2 2 2 2 6 6 6 2
## [2789] 2 2 3 1 6 3 5 6 6 6 2 6 2 6 2 3 6 6 2 1 2 2 2 2 2 2 6 2 3 2 1 2 3 3
## [2823] 3 3 3 2 3 2 3 3 6 2 3 6 3 2 6 3 2 2 2 3 3 2 3 3 3 6 2 6 3 3 2 3 3 3
## [2857] 2 3 3 1 3 2 3 6 3 2 2 2 2 2 3 2 2 3 2 3 2 3 2 3 2 2 3 3 2 3 3 2 2 2
## [2891] 3 6 2 3 2 2 3 2 2 3 3 2 2 3 2 6 3 2 3 6 3 3 3 2 3 6 2 3 3 3 3 2 6 3
## [2925] 2 3 3 6 2 3 3 2 3 3 6 6 5 2 3 2 6 2 2 5 5 2 3 5 3 6 6 3 6 3 3 5 2 3
## [2959] 3 1 2 6 6 2 6 2 6 3 2 5 3 6 6 2 3 1 3 2 2 3 3 2 3 2 3 3 2 2 1 2 2 2
## [2993] 2 3 3 3 6 3 2 3 3 2 3 2 2 3 2 2 2 3 2 6 6 3 2 6 6 2 3 3 6 6 3 6 6 2
## [3027] 5 2 3 2 3 5 4 5 6 5 2 3 3 3 2 3 1 2 2 5 2 2 6 6 2 3 2 5 2 5 6 2 2 2
## [3061] 6 2 2 2 2 3 1 1 2 3 6 3 1 1 2 2 3 1 3 2 2 3 3 3 1 3 6 3 3 3 2 3 1 1
## [3095] 2 6 2 2 3 3 2 2 1 3 2 3 1 3 1 2 3 1 2 2 2 6 2 3 1 3 1 2 2 3 1 3 2 2
## [3129] 5 3 1 2 1 3 2 5 3 3 1 1 2 3 2 2 3 3 6 3 3 2 1 3 3 2 3 1 6 6 3 4 2 6
## [3163] 5 4 6 5 3 1 2 5 6 6 2 5 6 6 2 5 5 2 5 4 6 2 2 5 5 6 6 6 5 4 4 6 6 4
## [3197] 3 6 4 2 2 4 6 2 2 4 6 1 2 5 5 6 1 2 2 2 5 2 1 6 6 6 2 5 1 5 5 4 5 2
## [3231] 2 6 2 5 3 5 6 5 5 6 3 2 2 3 2 3 5 6 6 6 2 1 2 5 4 2 3 2 6 2 2 2 2 2
## [3265] 5 3 2 5 2 2 6 2 2 3 2 2 3 2 2 3 6 2 5 2 3 6 6 4 5 3 4 3 6 3 3 2 2 6
## [3299] 1 2 2 3 3 2 6 3 5 2 2 2 5 2 6 6 2 3 6 2 3 2 2 6 3 3 2 5 3 2 2 2 3 2
## [3333] 2 2 2 5 3 2 2 2 6 5 2 3 3 6 6 2 2 6 6 2 6 6 2 6 4 3 2 2 2 6 6 6 2 6
## [3367] 3 4 2 6 2 2 6 2 6 5 2 2 3 6 3 2 6 5 5 2 5 5 6 4 4 2 6 2 5 5 2 6 2 3
## [3401] 2 2 4 6 6 6 5 3 5 2 5 4 6 4 5 6 3 6 4 6 2 2 2 3 4 6 5 2 2 3 2 6 6 6
## [3435] 2 4 5 2 3 4 2 6 6 1 2 5 2 2 6 6 6 2 6 2 3 2 2 6 2 5 1 2 2 5 2 6 6 5
## [3469] 5 4 2 4 2 5 2 6 6 5 2 6 6 6 5 6 6 6 6 6 4 3 6 2 5 6 6 5 5 5 5 5 5 2
## [3503] 4 6 6 6 6 6 2 5 6 6 5 4 6 2 5 6 6 5 3 2 3 2 2 6 2 4 2 5 5 6 5 2 6 1
## [3537] 5 2 6 4 2 5 2 3 5 2 5 2 6 5 5 5 6 3 1 2 5 4 3 6 6 5 6 6 5 5 5 5 6 5
## [3571] 2 2 6 2 5 2 3 2 6 5 1 2 5 3 2 2 2 6 3 2 2 6 5 6 6 2 6 3 6 3 2 1 6 6
## [3605] 6 2 3 2 6 6 2 3 3 6 2 1 5 2 6 6 6 2 6 2 2 2 6 6 6 3 5 5 5 2 3 6 5 2
## [3639] 6 2 1 6 3 6 2 2 6 2 5 4 3 2 3 5 5 6 1 6 2 6 5 6 5 6 6 6 2 5 2 2 6 2
## [3673] 6 2 4 2 6 2 6 6 6 6 6 2 6 5 2 2 6 6 2 2 2 2 5 2 4 5 2 6 2 2 5 6 5 6
## [3707] 2 6 3 2 3 2 3 2 3 2 2 3 3 5 5 5 6 6 5 2 2 1 3 1 1 3 3 6 1 3 2 3 6 3
## [3741] 3 1 2 3 3 2 3 2 2 5 6 3 3 3 2 2 2 3 3 3 2 1 3 1 3 3 2 2 3 3 1 3 1 2
## [3775] 2 2 6 3 2 2 2 6 2 2 6 2 2 3 3 3 6 2 3 6 2 3 6 3 2 6 6 2 2 2 2 2 3 2
## [3809] 3 2 1 6 2 3 3 2 3 3 2 6 6 2 2 6 3 3 1 2 2 2 6 6 6 2 6 2 3 2 3 3 2 3
## [3843] 3 2 2 3 3 2 6 2 3 2 6 3 2 6 6 3 6 3 3 1 3 3 6 3 2 3 2 3 3 2 2 6 2 3
## [3877] 2 6 2 2 3 1 3 3 2 2 3 3 3 2 3 3 2 3 3 3 3 3 3 3 2 2 6 3 3 3 6 3 3 6
## [3911] 6 3 6 2 2 1 2 3 2 6 2 5 2 2 3 5 6 6 3 6 2 2 2 2 3 3 5 2 3 3 6 3 6 2
## [3945] 2 6 3 5 6 3 3 3 3 3 3 3 3 2 1 2 6 3 2 2 2 2 1 3 2 2 3 6 2 1 6 2 2 2
## [3979] 3 3 2 3 3 2 3 3 2 3 3 3 2 3 3 2 2 3 3 3 3 2 2 1 1 1 3 3 1 2 2 2 3 3
## [4013] 3 1 3 2 3 5 5 2 3 2 3 3 3 2 3 3 3 5 2 2 3 2 3 1 3 2 2 2 1 2 3 2 3 3
## [4047] 2 1 3 2 2 3 2 2 1 2 2 2 3 2 3 2 2 2 3 3 2 2 2 3 2 3 6 6 2 2 2 6 2 3
## [4081] 3 6 3 2 1 2 2 3 2 2 2 3 3 6 2 2 2 2 3 3 6 3 3 2 2 6 3 2 3 6 2 5 3 3
## [4115] 3 2 3 2 3 3 6 3 3 3 3 3 2 3 1 2 1 2 6 1 2 5 2 3 1 2 3 3 6 3 2 2 2 1
## [4149] 3 5 2 3 2 2 1 3 6 6 2 6 5 3 3 1 5 3 2 1 6 6 2 2 3 6 2 3 5 1 2 2 1 2
## [4183] 3 6 3 3 6 3 5 1 2 6 3 3 5 6 2 5 6 1 6 1 3 2 2 1 2 2 3 2 2 6 2 2 1 2
## [4217] 3 3 3 6 6 2 6 1 3 3 3 3 3 3 3 1 6 2 3 5 2 2 2 3 6 2 1 2 2 2 2 3 6 3
## [4251] 3 3 3 3 2 5 1 2 3 1 1 3 3 1 2 3 3 6 3 3 2 2 2 3 2 6 3 2 1 2 2 3 1 6
## [4285] 2 2 3 3 1 5 3 2 3 3 6 3 6 3 1 1 6 3 3 3 6 3 6 2 6 2 1 3 3 2 2 2 1 1
## [4319] 3 3 6 3 1 2 1 3 1 3 1 1 2 3 3 6 2 6 1 3 5 2 1 3 1 1 2 1 3 2 2 3 3 3
## [4353] 2 3 2 3 2 3 3 3 1 2 6 3 3 1 3 3 2 6 3 2 1 3 2 3 3 3 3 3 2 1 3 3 2 6
## [4387] 1 6 2 3 2 2 2 3 3 3 2 2 3 2 3 3 3 1 3 3 1 3 3 3 2 2 6 3 3 1 3 3 2 6
## [4421] 2 1 1 5 3 3 3 2 3 6 3 3 1 2 6 1 3 3 2 1 1 3 3 3 3 3 2 2 3 3 2 6 2 3
## [4455] 2 2 3 1 2 3 1 3 2 3 3 2 3 3 2 1 2 2 2 3 2 2 3 3 2 1 2 3 3 3 6 6 2 2
## [4489] 1 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 2 2 3 2 1 2 2 3 2 3 3 6 2 6 2 2 3 2
## [4523] 3 2 2 3 2 2 3 2 3 3 2 2 2 2 2 3 3 3 2 3 6 3 3 3 3 2 2 3 3 2 2 1 2 2
## [4557] 2 2 3 2 3 2 3 2 3 2 2 2 2 3 3 3 2 3 3 1 3 2 3 2 3 2 1 3 2 3 3 3 3 2
## [4591] 3 6 2 2 6 6 3 2 3 2 6 3 6 6 3 6 2 2 3 2 2 2 2 3 2 3 2 2 2 3 3 2 1 3
## [4625] 1 3 2 3 3 3 3 2 3 3 3 2 3 2 2 3 3 2 3 3 1 3 3 2 2 2 3 3 3 2 1 2 3 3
## [4659] 2 3 3 2 3 6 2 3 2 3 3 1 2 3 2 2 3 3 2 3 3 3 2 2 2 3 3 2 3 2 2 2 3 2
## [4693] 3 3 3 3 2 3 3 2 2 1 1 1 3 3 3 6 2 3 3 2 1 3 1 3 2 2 1 2 1 2 6 2 2 3
## [4727] 2 3 1 2 3 1 1 3 3 3 3 3 2 3 2 3 3 3 2 6 6 3 1 2 3 1 6 3 3 1 2 3 3 3
## [4761] 6 2 1 3 1 2 1 3 1 3 1 1 3 2 3 1 5 1 3 1 2 3 3 3 2 3 1 3 3 3 3 3 6 3
## [4795] 3 3 3 1 2 2 2 2 2 2 6 6 6 2 6 6 3 3 2 3 2 2 3 3 3 5 3 5 4 5 3 6 3 2
## [4829] 2 3 3 2 2 2 3 3 3 2 3 2 2 2 6 2 2 3 3 1 3 2 3 3 6 2 2 3 6 2 2 2 2 2
## [4863] 2 2 2 5 2 2 3 3 6 3 2 2 2 2 2 2 5 2 1 3 3 6 3 2 2 6 3 3 6 3 2 3 2 6
## [4897] 2 3 3 2 2 3 2 3 2 5 3 2 3 2 2 6 2 2 2 3 2 2 2 2 2 2 2 2 3 3 3 2 2 3
## [4931] 6 3 2 2 2 1 2 3 2 2 1 3 2 2 6 2 3 2 6 6 5 3 3 2 3 6 6 6 2 3 5 5 6 2
## [4965] 2 2 2 6 2 5 3 6 2 2 2 2 2 2 2 2 3 2 3 3 2 2 3 2 2 3 6 3 2 6 6 3 2 6
## [4999] 3 2 5 3 3 3 3 2 6 2 2 6 2 2 3 6 3 6 2 3 3 2 3 3 2 2 2 2 2 5 2 2 5 5
## [5033] 3 3 2 6 2 2 3 2 3 3 1 5 5 1 2 2 2 1 3 3 3 3 2 2 6 3 6 3 2 2 3 3 3 3
## [5067] 3 2 3 6 5 6 3 2 2 2 3 3 3 6 6 2 3 3 3 3 2 3 2 2 2 6 3 6 3 3 2 2 5 1
## [5101] 3 3 3 2 3 3 3 2 2 2 1 3 3 2 6 2 6 1 2 6 6 5 2 1 3 6 5 6 1 1 3 2 6 6
## [5135] 3 2 3 2 3 6 2 5 2 2 2 5 3 2 2 6 2 2 2 2 2 6 2 2 3 2 3 2 2 2 3 2 6 2
## [5169] 6 2 2 2 6 2 6 2 2 1 2 6 2 2 3 3 2 1 2 3 2 1 3 3 3 2 2 6 5 3 5 3 2 2
## [5203] 2 2 2 6 2 2 6 2 2 6 2 3 6 5 2 3 2 2 6 3 2 2 5 1 6 2 3 5 3 6 2 2 3 2
## [5237] 2 2 3 2 3 2 2 2 6 3 2 2 2 2 2 2 6 6 6 5 4 2 3 2 3 2 3 3 3 6 2 3 2 2
## [5271] 6 2 3 6 3 6 6 3 3 1 3 3 1 1 2 6 6 5 6 3 2 5 5 2 6 2 6 5 6 2 5 2 2 1
## [5305] 3 2 2 2 1 2 3 6 2 3 6 3 5 3 6 6 6 2 6 6 3 3 2 6 6 2 6 3 3 6 6 6 2 2
## [5339] 3 2 2 6 3 3 2 2 3 2 2 2 2 6 3 2 2 5 3 6 3 6 2 3 2 2 5 2 1 6 2 5 3 2
## [5373] 1 5 5 3 2 3 3 6 3 3 6 2 2 2 6 3 1 2 3 5 3 2 3 3 6 6 3 2 3 2 2 2 6 2
## [5407] 2 6 2 6 6 2 3 2 2 2 2 6 6 2 3 3 2 2 6 2 3 2 3 2 2 2 2 3 2 2 2 2 3 3
## [5441] 3 3 2 3 3 3 3 3 3 3 2 3 2 2 3 2 6 6 6 2 3 6 2 3 2 1 2 3 3 3 2 3 3 3
## [5475] 3 6 3 2 2 3 3 1 3 3 3 2 3 3 3 2 6 6 2 2 6 6 6 6 6 3 3 3 3 3 2 3 6 2
## [5509] 3 2 3 2 3 3 1 3 3 2 1 1 1 3 3 2 3 3 6 1 2 1 3 3 1 1 3 1 1 1 1 3 2 3
## [5543] 6 6 3 3 1 1 1 6 1 2 3 2 1 1 1 1 3 1 1 3 3 1 1 1 1 1 1 3 1 1 3 1 2 3
## [5577] 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 3 1 1 1 1 1 1 3 2 1 1
## [5611] 3 1 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1 3 1 3 1 1 1 3 1 1 1 3 1 1 1 1 1
## [5645] 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 3 3 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [5679] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [5713] 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [5747] 1 1 1 1 1 1 1 1 1 1 1 3 3 2 3 6 2 3 2 1 1 2 3 3 6 2 1 1 2 1 3 6 2 3
## [5781] 1 3 1 2 3 6 3 1 6 2 3 3 1 3 2 2 1 2 2 1 2 3 3 1 1 3 3 3 2 1 1 1 6 1
## [5815] 3 6 3 2 3 3 2 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 2
## [5849] 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [5883] 3 1 3 1 2 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1 5 1
## [5917] 2 3 2 1 2 1 3 3 1 2 5 1 3 3 6 1 1 1 1 1 3 3 3 2 3 1 2 1 3 3 1 1 3 1
## [5951] 1 1 1 3 1 3 3 1 5 1 2 1 6 1 3 3 3 1 2 1 1 3 1 2 2 3 3 2 2 2 3 1 3 1
## [5985] 3 3 3 3 3 3 3 3 2 1 3 1 3 1 2 1 3 2 6 2 3 1 3 1 6 2 6 6 6 6 2 2 6 5
## [6019] 2 2 6 6 2 6 6 3 3 5 6 6 5 3 6 2 2 3 2 6 2 2 6 6 5 5 6 6 2 3 2 6 2 2
## [6053] 5 3 6 2 3 3 2 5 2 6 2 6 6 2 6 6 3 2 6 2 3 6 6 6 6 6 6 2 6 3 5 2 3 2
## [6087] 5 6 2 2 2 6 2 6 6 2 3 6 6 6 2 6 2 2 2 2 6 6 3 2 1 1 2 6 1 6 2 3 3 2
## [6121] 2 6 3 3 1 3 2 2 6 3 3 2 6 3 1 5 3 3 2 6 6 6 3 2 3 2 6 3 6 3 3 2 2 2
## [6155] 3 2 5 6 6 3 2 6 3 2 1 2 2 2 3 3 2 2 5 5 6 1 1 2 2 2 3 1 6 3 3 3 3 2
## [6189] 6 3 3 2 5 2 3 6 2 3 3 3 2 6 3 3 3 2 2 5 3 3 1 3 3 6 3 3 1 2 3 2 5 1
## [6223] 3 3 3 3 2 2 3 2 1 1 3 3 2 2 3 1 2 3 3 3 2 3 3 1 2 3 2 1 1 2 3 2 1 2
## [6257] 3 3 2 2 3 3 3 2 3 3 3 2 3 5 3 1 1 3 3 3 2 3 2 1 3 1 3 3 3 2 6 2 1 3
## [6291] 1 1 3 1 3 3 2 3 2 2 2 1 3 2 3 1 1 3 1 2 1 3 6 1 3 3 2 1 3 2 1 3 2 6
## [6325] 3 2 3 1 2 2 1 2 2 3 1 1 1 3 1 3 3 3 1 3 1 3 1 3 1 3 1 1 1 1 3 1 3 1
## [6359] 3 1 1 3 3 3 2 3 1 1 2 1 2 3 3 1 3 2 3 2 2 1 3 1 3 3 3 1 1 1 3 3 1 3
## [6393] 2 1 1 3 3 3 3 6 3 2 6 2 1 1 2 1 3 2 6 2 3 2 2 3 3 6 3 1 5 6 6 6 5 6
## [6427] 3 3 5 2 2 2 2 2 6 3 2 2 1 3 5 4 3 2 6 2 4 2 2 3 3 3 5 3 3 6 2 2 2 3
## [6461] 3 1 1 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 3 1 1 1
## [6495] 1 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6529] 1 1 1 1 3 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 6
## [6563] 2 2 3 3 2 2 3 3 1 3 3 3 1 2 3 2 1 1 2 3 3 1 2 3 6 2 6 1 2 2 3 3 2 6
## [6597] 3 1 3 1 6 1 2 5 6 3 2 2 1 5 1 3 1 2 1 1 1 2 3 3 3 3 3 1 1 3 3 2 6 1
## [6631] 2 1 3 2 6 3 1 1 2 6 6 3 1 1 1 1 3 1 3 3 3 2 3 1 3 3 3 1 1 3 3 3 1 1
## [6665] 2 3 3 3 1 1 1 3 2 1 3 1 1 6 3 3 2 3 3 1 1 2 1 1 1 3 3 1 1 1 1 1 3 3
## [6699] 3 1 1 1 1 2 2 3 6 1 1 3 2 3 3 3 3 3 2 3 3 3 3 6 3 2 2 3 2 1 3 3 1 3
## [6733] 3 3 2 2 2 3 6 3 2 3 3 2 3 2 3 3 3 2 1 6 1 2 3 2 3 1 3 2 3 2 2 3 1 3
## [6767] 6 3 2 3 2 3 2 2 6 6 3 6 3 1 3 3 3 2 3 3 2 2 3 3 2 1 1 3 1 3 2 2 6 3
## [6801] 3 1 2 3 6 6 3 3 3 2 3 2 3 2 1 2 6 6 3 3 6 6 2 2 3 3 2 3 3 6 6 5 6 6
## [6835] 2 5 4 5 6 5 6 6 2 6 5 6 6 6 6 2 2 2 6 5 3 6 6 2 6 6 6 6 2 5 2 6 2 2
## [6869] 2 6 2 2 6 2 2 6 2 6 2 5 2 6 3 6 5 5 3 3 2 2 5 2 2 6 6 6 5 5 6 2 6 3
## [6903] 5 6 1 5 4 5 3 2 3 2 4 6 6 5 3 2 6 2 5 2 5 5 6 3 2 5 6 2 6 6 6 2 3 2
## [6937] 1 6 6 6 2 6 2 2 6 2 5 1 1 2 3 2 3 6 6 6 2 5 6 6 6 3 5 3 6 2 6 2 2 6
## [6971] 3 2 4 2 3 3 2 6 5 2 6 6 6 2 5 6 1 6 6 2 6 2 2 2 1 2 3 1 6 6 5 6 5 2
## [7005] 1 6 6 6 5 2 6 5 5 5 1 6 3 5 5 6 3 5 3 5 6 6 5 6 6 2 2 2 6 6 2 6 2 6
## [7039] 5 5 2 5 6 2 6 5 3 6 5 2 6 6 2 6 6 6 2 6 5 6 2 6 2 5 5 5 6 2 2 6 6 6
## [7073] 6 6 1 6 3 6 2 5 3 2 6 6 2 2 2 6 6 5 2 2 5 6 6 6 6 2 6 6 6 6 6 5 5 5
## [7107] 4 6 5 6 6 5 5 6 5 5 6 6 2 6 5 5 5 5 6 6 5 5 3 2 6 4 6 6 1 6 5 6 5 6
## [7141] 5 5 2 6 5 6 6 2 5 6 6 4 6 6 2 6 6 2 5 6 5 5 2 2 5 6 5 6 6 3 3 2 5 6
## [7175] 2 6 6 6 6 5 6 6 5 3 5 3 5 2 2 2 2 6 6 2 5 2 2 6 6 5 1 3 6 6 3 2 6 6
## [7209] 2 6 2 6 2 6 2 6 5 6 6 6 6 3 6 6 2 5 3 3 6 6 3 6 1 6 2 2 2 3 6 2 3 2
## [7243] 2 1 2 2 5 6 6 6 2 5 6 6 2 6 2 5 6 5 5 6 3 6 2 6 6 6 2 3 6 5 5 6 5 5
## [7277] 6 2 6 2 2 5 6 2 1 1 5 1 2 3 3 2 1 1 3 3 2 1 3 1 2 2 3 1 3 3 3 1 3 3
## [7311] 1 1 3 1 1 2 3 3 2 1 6 6 6 2 2 2 3 2 2 2 2 2 1 6 1 2 6 2 3 1 2 6 2 2
## [7345] 3 3 3 6 5 3 2 2 3 5 2 1 6 2 2 3 1 5 3 6 3 5 2 3 3 2 2 3 3 2 6 6 1 2
## [7379] 3 1 1 2 5 2 3 2 2 3 6 3 3 3 2 3 3 3 3 3 5 6 6 3 2 3 2 3 3 2 2 3 2 2
## [7413] 5 3 2 3 3 3 2 6 3 1 6 2 2 3 3 2 3 3 1 2 3 3 3 6 2 3 6 1 6 3 2 3 3 3
## [7447] 1 2 6 6 5 4 5 5 1 3 6 3 3 5 6 6 3 2 5 4 4 2 2 5 5 6 6 3 3 3 3 6 2 2
## [7481] 3 6 2 3 2 3 2 2 3 6 2 2 3 2 3 2 1 3 3 2 5 3 3 2 1 6 6 6 3 3 5 5 6 6
## [7515] 3 3 6 2 6 2 6 6 6 6 3 3 5 2 2 6 3 1 6 6 6 2 6 2 5 3 2 6 5 6 3 1 2 2
## [7549] 2 6 2 3 6 3 6 2 6 3 6 3 2 6 2 2 5 6 2 3 6 2 2 2 1 6 2 2 6 2 6 6 2 2
## [7583] 6 2 6 6 2 1 6 6 3 3 6 6 2 2 6 4 6 2 1 2 5 6 2 2 5 2 5 6 5 6 2 1 3 2
## [7617] 5 6 5 5 4 6 4 2 5 5 6 6 6 6 4 5 2 6 4 6 6 6 5 2 2 4 6 2 6 5 5 5 5 2
## [7651] 6 4 4 5 6 6 6 6 2 6 5 2 5 6 6 6 6 6 2 6 6 5 5 5 6 6 3 3 6 5 2 5 5 5
## [7685] 2 2 5 2 6 5 5 2 2 6 3 1 1 3 3 3 6 1 2 3 3 3 2 5 2 6 2 2 2 3 6 2 2 6
## [7719] 6 2 2 5 3 2 1 2 3 2 3 3 2 2 3 2 2 1 2 3 6 2 2 6 3 3 3 3 3 6 3 2 6 2
## [7753] 2 2 3 5 2 2 6 6 3 3 6 3 2 2 2 2 6 2 3 1 2 2 2 6 3 3 1 5 3 3 6 2 6 1
## [7787] 2 6 6 2 3 1 3 5 6 2 2 5 5 3 2 4 5 6 6 6 5 2 5 3 6 2 2 6 6 2 2 3 3 5
## [7821] 6 5 5 5 2 2 2 3 5 6 5 6 6 6 6 5 6 6 3 6 2 3 6 4 6 5 5 2 6 6 5 5 6 2
## [7855] 6 6 2 6 5 5 6 2 2 2 6 3 6 6 6 6 2 3 5 1 5 6 2 3 2 2 2 2 5 5 6 4 3 1
## [7889] 2 1 6 2 6 3 6 3 2 6 6 6 6 2 2 6 2 2 5 6 6 2 2 3 5 5 6 2 3 2 2 2 6 2
## [7923] 3 5 5 6 5 2 6 3 2 6 3 3 2 2 2 6 6 5 2 2 6 1 2 5 6 2 3 6 3 2 3 6 2 6
## [7957] 6 5 3 6 6 5 6 6 2 6 2 3 3 5 6 2 2 3 5 4 2 2 1 2 6 2 6 5 6 6 1 6 2 6
## [7991] 6 6 2 2 2 6 5 2 6 2 2 6 6 2 6 2 6 2 2 2 6 2 3 6 2 2 6 3 6 5 2 2 6 6
## [8025] 6 2 5 2 6 6 2 6 6 2 2 2 6 6 6 2 6 2 6 6 6 5 4 6 5 6 2 5 6 2 6 6 5 2
## [8059] 5 5 5 5 2 6 2 5 5 6 5 6 3 2 2 2 6 3 3 6 3 2 2 2 3 3 2 2 2 3 3 6 2 3
## [8093] 2 1 2 2 3 6 6 2 2 1 1 2 2 3 3 3 3 2 6 3 1 6 2 2 5 1 6 2 1 2 3 5 3 2
## [8127] 3 2 2 6 2 6 2 3 2 2 5 3 3 3 3 2 2 5 2 2 2 2 2 6 3 6 6 3 3 2 3 2 2 2
## [8161] 2 6 2 2 3 3 6 1 6 5 5 5 5 6 6 5 2 2 2 5 6 2 6 6 5 2 6 3 5 5 6 5 6 2
## [8195] 6 2 3 6 2 1 2 6 1 6 6 3 2 1 2 3 6 6 6 6 6 3 6 3 2 6 6 3 3 3 3 2 1 4
## [8229] 6 3 2 5 6 2 1 2 3 3 6 5 6 6 3 6 6 5 4 2 5 2 6 6 4 6 6 3 5 2 6 6 5 2
## [8263] 3 5 2 2 5 2 6 6 2 3 5 6 6 1 1 3 1 1 2 3 3 6 1 4 5 2 3 3 1 5 3 5 3 6
## [8297] 6 3 5 2 3 2 3 2 2 2 3 6 2 1 6 1 5 2 5 2 2 1 6 2 2 5 5 6 6 1 6 6 2 6
## [8331] 6 1 5 2 2 6 2 5 4 1 3 5 2 5 6 6 4 3 3 6 2 5 5 6 5 2 6 6 1 1 6 2 2 3
## [8365] 6 6 6 2 3 2 3 4 1 6 3 2 1 2 2 6 3 6 6 6 2 2 2 6 2 6 2 6 6 6 4 2 3 1
## [8399] 1 2 5 1 6 5 3 3 1 3 1 2 6 2 2 2 1 5 3 3 3 2 3 3 3 3 3 3 2 2 2 2 3 3
## [8433] 3 2 2 3 1 3 2 3 1 2 6 2 3 3 2 6 6 2 6 3 3 2 2 6 2 3 3 2 2 2 2 3 2 2
## [8467] 3 1 2 1 2 6 2 3 2 3 6 5 5 2 2 5 3 1 1 2 2 6 1 2 1 6 6 6 6 6 2 6 5 6
## [8501] 2 2 1 2 2 6 6 6 2 6 3 2 3 1 5 3 1 1 3 3 3 1 3 3 2 1 3 1 3 3 3 3 6 1
## [8535] 1 2 2 2 2 1 3 6 3 2 3 3 2 2 6 1 6 3 1 1 1 3 2 2 6 6 3 3 2 5 2 3 3 2
## [8569] 2 2 3 2 2 6 1 1 1 3 3 1 6 2 1 2 2 6 6 6 6 6 2 2 2 2 2 1 2 6 3 2 6 2
## [8603] 2 3 1 2 2 5 6 5 6 6 5 2 2 5 6 6 6 5 2 6 2 2 6 2 6 5 5 2 6 6 2 6 2 6
## [8637] 2 2 2 2 3 5 2 6 5 5 2 2 2 2 5 1 5 5 3 3 6 6 2 3 6 6 6 6 5 2 1 3 2 3
## [8671] 3 1 1 3 3 2 1 3 6 3 3 2 2 3 6 1 1 6 2 3 6 3 3 3 2 2 2 3 5 2 2 5 3 2
## [8705] 1 2 2 3 2 2 2 3 1 3 2 3 3 2 2 2 3 1 2 2 3 2 1 2 1 1 2 2 2 3 2 6 2 2
## [8739] 3 2 2 1 2 6 2 6 6 2 2 6 1 2 6 2 3 6 2 2 1 6 2 5 3 1 2 2 2 5 6 3 1 2
## [8773] 5 3 2 2 6 2 6 3 6 5 3 2 5 2 3 2 2 2 2 2 2 6 6 2 3 3 2 6 3 1 3 3 6 5
## [8807] 1 6 3 2 2 5 1 3 6 1 2 6 1 2 3 6 6 6 6 3 5 6 6 6 2 1 2 3 6 5 6 6 5 5
## [8841] 6 6 2 5 5 5 3 6 2 5 5 3 2 3 1 3 3 6 2 3 3 1 1 1 3 3 3 2 2 1 1 1 1 1
## [8875] 6 1 1 6 2 1 3 3 2 3 2 3 1 3 3 3 3 3 2 3 3 3 3 1 2 2 6 3 3 3 3 3 3 3
## [8909] 2 3 2 6 3 3 3 2 3 6 3 3 3 1 3 3 1 3 2 1 3 1 1 2 2 1 1 1 3 1 2 1 3 3
## [8943] 6 1 3 1 3 1 3 2 3 1 3 6 5 1 2 6 5 2 6 3 2 2 6 6 5 6 5 6 2 2 6 6 6 6
## [8977] 6 5 2 6 2 3 2 3 3 6 2 3 1 3 1 1 3 3 6 1 2 2 1 1 2 3 3 2 3 1 1 1 1 3
## [9011] 1 3 2 1 2 1 1 1 3 1 1 2 3 6 5 5 3 6 1 2 2 6 6 5 6 5 6 2 6 5 2 2 6 2
## [9045] 6 6 6 2 2 2 5 2 2 3 3 5 5 2 3 2 1 2 6 6 6 2 2 3 6 2 6 5 6 3 6 2 6 2
## [9079] 2 2 3 6 6 2 2 1 6 2 1 6 6 2 2 2 6 3 6 5 1 6 2 1 2 3 3 3 2 2 3 3 2 6
## [9113] 6 2 5 2 5 5 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 3 1 6 6 1 6 3 1 1 1 3 6
## [9147] 5 3 6 5 6 2 1 6 3 2 5 6 3 5 2 2 5 2 6 6 6 2 6 5 2 2 6 5 3 6 2 6 6 2
## [9181] 6 5 2 5 2 2 2 5 3 2 5 6 5 5 2 2 3 6 3 5 5 5 2 6 2 3 6 6 2 2 5 5 5 6
## [9215] 5 5 2 5 6 5 3 6 3 3 3 3 3 3 3 2 1 2 1 1 3 3 3 2 2 6 2 2 3 2 2 1 3 3
## [9249] 1 1 2 1 4 5 2 6 6 3 2 6 2 2 2 2 3 3 1 2 3 6 1 2 2 1 2 5 3 3 1 3 6 2
## [9283] 3 3 3 3 2 1 2 3 2 3 1 5 3 2 6 3 3 3 3 3 1 1 3 2 6 2 2 3 1 5 3 2 2 6
## [9317] 6 5 5 2 5 6 5 4 5 5 2 2 2 2 6 3 5 6 5 6 6 6 3 5 2 3 2 2 6 2 6 3 2 6
## [9351] 6 2 2 2 3 3 5 5 2 5 2 5 2 3 2 6 3 3 2 3 3 3 2 2 6 3 5 3 2 2 2 2 3 6
## [9385] 2 2 2 2 6 3 3 6 6 1 3 2 2 6 2 1 3 3 6 1 1 3 1 2 3 2 3 3 6 2 6 6 6 3
## [9419] 5 1 1 1 2 5 3 3 2 5 1 3 5 1 1 1 1 3 3 1 3 1 6 6 1 1 3 6 3 3 2 3 6 2
## [9453] 2 3 6 6 3 2 2 2 6 3 3 3 2 2 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [9487] 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 3 6 6 6 6
## [9521] 5 3 5 5 5 6 2 2 3 2 5 6 5 5 2 6 6 6 5 5 6 6 6 2 2 6 6 6 6 6 2 5 6 3
## [9555] 6 2 6 6 6 2 6 3 6 5 6 3 5 2 2 1 1 1 1 2 1 3 1 1 2 3 1 1 1 1 1 1 6 1
## [9589] 1 1 3 1 3 3 1 1 1 1 1 2 1 1 3 1 1 1 1 3 1 1 3 1 1 1 1 2 1 1 1 6 6 2
## [9623] 6 2 2 5 6 6 1 6 5 6 5 5 6 2 3 6 6 5 3 2 6 6 5 6 2 3 5 6 2 5 2 5 2 6
## [9657] 5 6 6 5 6 5 6 5 5 5 5 5 6 6 5 6 2 3 6 5 2 6 6 3 5 6 6 2 5 6 6 2 3 2
## [9691] 6 6 4 6 6 3 6 3 2 2 6 6 2 3 2 2 3 2 1 2 6 3 2 6 6 6 2 5 3 3 3 2 2 6
## [9725] 2 4 3 6 2 2 3 2 3 3 6 5 2 6 2 6 2 6 4 5 6 3 2 2 2 6 5 3 3 2 2 6 1 4
## [9759] 6 6 3 2 3 6 2 6 5 2 2 3 1 6 2 6 2 5 2 3 2 3 6 3 3 6 2 5 2 2 3 1 1 3
## [9793] 1 1 1 3 1 3 1 6 2 2 3 1 1 1 3 1 3 1 6 1 1 1 3 1 6 1 1 1 1 1 1 1 3 3
## [9827] 1 1 1 3 3 2 1 1 3 1 1 3 1 1 3 2 6 1 3 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1
## [9861] 3 2 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 3 1 1 1 3
## [9895] 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 3 1 2 1 3 1 1 3 1 1 1 1 1 3 1 1 3
## [9929] 1 1 3 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 3 2 1 2 1 3 1 3 3 1 1 1 6 1
## [9963] 3 1 1 2 3 3 1 3 1 2 1 1 3 2 1 3 3 3 2 1 1 3 2 3 3 3 3 6 1 1 1 2 3 3
## [9997] 3 3 1 3 3 2 3 3 3 3 1 3 3 1 1 3 2 3 1 6 2 1 3 2 1 1 2 1 3 1 3 3 2 5
## [10031] 1 3 1 1 2 2 3 3 2 1 1 6 3 6 1 3 1 2 2 6 1 6 2 3 2 3 3 3 3 1 1 1 3 1
## [10065] 1 6 2 6 3 1 2 1 6 2 2 1 6 6 6 3 6 2 3 6 3 2 6 2 2 6 3 6 6 6 6 6 6 3
## [10099] 1 3 3 5 2 1 6 2 5 1 6 6 2 6 3 1 2 3 5 2 5 6 5 2 6 4 2 2 3 1 6 3 2 1
## [10133] 2 3 3 3 1 1 2 1 6 3 3 1 3 3 3 3 3 2 1 3 3 6 3 1 3 3 3 3 1 1 3 1 3 3
## [10167] 2 3 2 3 2 3 1 6 2 1 3 1 3 2 2 1 3 2 1 2 1 1 2 2 1 3 3 3 1 2 1 1 1 1
## [10201] 6 3 2 3 1 3 3 2 3 3 1 3 1 3 3 6 1 3 2 3 3 2 5 5 1 1 2 2 2 3 3 1 3 1
## [10235] 2 1 1 3 2 3 1 3 2 3 1 2 3 3 3 1 3 1 3 3 1 1 1 2 3 2 1 1 1 5 1 3 3 2
## [10269] 3 3 3 4 1 2 1 3 6 1 1 2 3 3 3 6 1 3 1 3 2 6 1 2 2 3 2 2 2 6 2 3 3 2
## [10303] 2 3 1 2 1 3 3 2 2 1 3 6 2 2 1 3 6 2 2 3 2 2 6 3 3 2 1 3 3 3 2 1 3 2
## [10337] 3 3 3 2 3 3 3 1 2 3 2 2 3 3 6 3 3 3 3 6 3 3 1 3 3 6 3 2 3 2 2 3 3 3
## [10371] 3 6 3 3 3 1 3 1 3 3 6 2 6 3 2 3 1 3 6 6 2 2 2 2 6 3 2 6 6 3 3 3 2 2
## [10405] 3 2 2 1 6 3 2 2 6 1 2 6 3 2 2 5 3 3 3 2 1 3 1 1 6 3 1 1 1 1 1 3 3 3
## [10439] 2 1 2 2 1 1 3 1 1 2 1 3 6 2 1 3 1 3 3 2 1 2 1 3 1 2 2 2 2 3 3 2 3 2
## [10473] 3 3 2 6 1 1 3 3 1 3 3 2 1 5 2 3 3 3 3 2 1 1 1 3 3 2 1 1 2 1 1 3 2 1
## [10507] 3 6 3 3 1 3 3 2 1 3 2 3 3 3 2 3 2 3 1 1 3 6 3 2 3 2 1 3 3 1 1 2 3 3
## [10541] 2 2 1 3 3 2 2 6 1 1 3 6 3 2 3 3 3 6 3 3 3 2 1 3 6 1 3 2 2 2 1 6 1 3
## [10575] 1 1 3 3 3 2 3 3 1 2 2 2 2 1 1 3 2 1 1 3 1 6 3 1 1 1 3 3 1 1 3 2 3 2
## [10609] 3 3 2 2 3 2 3 3 3 1 1 1 2 1 1 3 6 1 2 1 1 3 6 1 3 2 5 6 1 1 3 2 2 3
## [10643] 1 1 1 1 3 5 3 1 1 3 1 3 1 6 3 3 2 2 2 1 3 6 3 3 6 2 3 1 2 6 3 2 2 5
## [10677] 2 2 2 3 2 5 2 3 5 2 3 2 2 6 1 2 3 2 6 6 2 6 2 2 2 3 3 6 2 2 5 1 2 3
## [10711] 2 6 6 2 5 2 3 2 3 2 3 1 3 1 2 3 1 3 3 3 2 3 3 3 1 2 2 3 1 1 3 3 3 2
## [10745] 2 3 6 3 3 1 1 3 3 1 2 1 3 3 1 1 3 1 1 3 3 2 3 3 2 3 3 2 3 1 2 1 1 1
## [10779] 1 2 1 3 3 3 3 2 3 1 1 1 1 6 3 3 2 1 1 1 1 3 1 1 3 1 3 1 3 3 1 3 2 1
## [10813] 1 3 3 3 1 1 1 1 2 1 3 1 3 3 1 1 3 1 1 3 1 1 1 2 3 3 1 1 2 6 2 3 1 1
## [10847] 1 1 1 3 3 3 3 1 1 2 6 1 3 3 2 3 2 1 3 1 2 1 3 1 3 3 3 1 1 1 1 3 3 1
## [10881] 3 3 2 1 1 3 3 3 3 3 3 6 3 1 1 1 2 2 3 6 1 3 6 6 2 3 2 6 6 3 6 6 6 3
## [10915] 2 2 3 2 3 6 6 3 3 2 2 2 3 2 1 3 2 2 3 2 2 2 2 3 2 3 2 1 3 1 3 5 2 3
## [10949] 1 6 3 2 2 6 2 1 3 2 3 3 2 2 1 6 3 6 3 6 6 3 5 6 6 3 6 3 1 3 2 2 3 3
## [10983] 2 3 2 3 6 6 6 3 3 3 5 6 2 2 2 3 6 6 3 2 6 3 1 6 1 3 6 1 3 1 3 1 2 2
## [11017] 5 1 3 3 1 2 1 3 3 3 1 1 6 1 1 1 5 3 2 3 6 3 3 3 3 3 5 2 2 2 2 1 2 2
## [11051] 1 1 1 3 3 2 3 2 3 3 3 2 6 6 2 2 1 2 2 3 6 2 3 3 6 3 3 2 3 6 6 1 3 6
## [11085] 5 6 2 3 3 2 2 2 3 2 3 4 2 1 4 3 3 2 6 3 2 2 5 3 1 2 3 3 2 3 2 3 2 2
## [11119] 3 3 2 3 3 2 3 6 3 6 2 2 2 2 2 5 2 6 1 6 4 2 1 5 1 6 6 3 5 3 6 5 3 5
## [11153] 2 2 3 2 2 6 1 2 3 3 2 3 6 2 2 5 2 2 2 5 2 2 3 2 3 6 2 3 3 2 2 3 3 3
## [11187] 1 3 3 6 3 3 3 3 6 1 3 1 1 1 3 2 2 3 3 3 3 3 1 3 2 2 3 3 1 2 2 2 6 3
## [11221] 1 2 2 5 6 2 5 6 3 2 2 3 1 2 3 6 3 2 2 2 3 1 2 3 2 3 2 3 1 3 1 3 6 4
## [11255] 3 6 3 6 5 6 2 5 6 2 2 3 3 5 3 5 5 3 3 4 6 4 6 1 5 5 6 3 1 6 5 4 3 3
## [11289] 6 2 6 3 6 6 5 4 4 4 6 2 6 2 6 6 2 6 6 2 6 2 2 6 5 6 6 2 2 1 2 2 2 6
## [11323] 2 1 1 3 6 2 6 3 2 6 6 2 2 3 6 3 2 2 2 5 5 2 2 6 3 2 1 6 6 3 3 5 2 6
## [11357] 3 2 2 3 1 2 6 1 6 2 5 2 5 2 6 6 2 5 3 2 5 6 6 3 5 6 6 6 5 6 2 6 6 6
## [11391] 6 6 6 6 5 1 6 6 6 6 6 2 6 6 2 6 5 6 6 2 5 6 6 5 5 6 6 6 6 6 6 6 5 6
## [11425] 6 4 6 6 5 6 6 5 6 6 6 2 5 3 6 2 6 3 6 6 6 6 6 5 5 2 5 6 6 4 5 6 5 5
## [11459] 2 5 1 3 3 6 2 6 6 6 2 2 3 2 3 3 6 6 2 6 5 2 6 6 5 3 3 1 1 1 3 2 6 6
## [11493] 2 3 3 2 3 2 5 5 6 6 3 3 6 6 6 5 6 6 2 2 4 2 6 5 5 6 5 6 6 2 5 6 6 2
## [11527] 2 5 6 1 2 3 6 5 6 6 5 3 6 2 2 6 6 6 6 2 2 6 5 5 1 2 3 6 6 6 6 5 6 6
## [11561] 2 6 6 2 6 5 2 5 6 6 2 6 3 6 2 6 6 5 2 3 6 2 6 6 2 6 2 6 2 6 6 6 6 2
## [11595] 2 2 5 5 6 6 2 5 2 6 6 6 5 6 3 2 6 2 2 6 6 2 5 6 6 6 4 2 3 2 3 1 2 2
## [11629] 2 6 6 2 4 1 3 5 1 5 1 3 1 1 1 1 1 1 1 3 2 6 6 1 4 6 6 4 2 5 4 4 2 6
## [11663] 6 6 5 2 6 5 5 4 2 4 4 5 4 5 5 5 4 5 4 4 5 5 4 5 5 4 4 6 1 5 2 4 4 6
## [11697] 4 5 1 2 6 2 4 5 6 5 4 4 4 6 4 1 5 5 6 4 4 5 5 4 3 1 1 5 3 4 3 3 5 2
## [11731] 6 4 6 6 6 5 2 2 2 6 6 1 6 3 6 5 2 2 1 6 1 4 2 6 2 3 1 2 2 3 2 3 2 2
## [11765] 6 6 5 6 4 1 4 1 4 3 1 3 6 6 5 3 6 3 2 6 1 6 6 4 4 4 1 3 3 2 5 4 6 2
## [11799] 2 3 6 1 2 3 3 5 5 5 5 2 3 6 5 4 1 5 3 5 3 5 2 2 5 4 4 6 1 5 1 6 5 3
## [11833] 3 3 6 6 5 3 2 6 2 2 6 2 5 6 5 2 6 1 6 2 6 6 6 2 2 2 2 3 6 1 6 3 3 2
## [11867] 4 3 3 1 3 6 3 3 6 3 6 6 2 3 3 5 2 3 5 3 2 3 3 2 5 2 5 6 5 2 2 1 2 2
## [11901] 3 3 2 2 3 3 2 6 2 2 5 6 2 2 4 3 3 3 6 4 3 2 5 1 3 6 1 1 6 1 2 2 4 3
## [11935] 6 6 2 1 2 3 3 2 6 2 5 6 2 6 5 6 2 3 2 3 2 2 2 6 1 3 6 3 3 6 2 3 2 3
## [11969] 2 2 2 3 2 2 3 2 2 5 2 3 2 2 3 2 3 3 2 3 3 1 3 2 3 2 5 3 6 2 6 2 2 2
## [12003] 2 5 2 5 3 3 6 3 3 6 2 6 2 2 1 2 5 1 6 2 3 3 5 2 1 2 6 6 6 1 5 4 5 2
## [12037] 3 2 3 2 2 2 1 2 2 3 2 6 3 6 2 2 2 3 6 2 2 6 2 2 6 2 6 6 6 2 6 5 6 4
## [12071] 6 1 3 2 1 1 5 6 6 2 6 1 1 4 3 3 5 3 1 3 1 6 3 1 1 1 1 6 2 2 1 3 3 2
## [12105] 2 1 4 2 3 5 1 6 5 2 6 3 6 6 3 2 5 1 3 3 6 3 2 3 3 4 2 3 6 3 3 6 3 3
## [12139] 1 2 2 3 2 6 2 6 2 3 1 6 2 2 3 2 6 2 6 6 2 3 2 2 6 2 4 6 5 1 6 5 6 5
## [12173] 6 6 6 4 4 4 6 6 2 2 5 2 6 6 2 2 3 3 5 6 3 3 1 6 2 6 4 2 2 3 2 3 2 3
## [12207] 6 6 6 6 5 2 6 5 2 2 2 2 2 2 2 6 2 6 6 2 5 6 2 6 6 2 3 6 6 3 2 6 2 5
## [12241] 2 3 6 6 5 5 2 6 6 2 6 6 2 2 6 2 3 2 2 5 3 5 2 6 6 5 6 6 5 5 2 6 5 2
## [12275] 5 6 6 5 2 5 2 6 5 6 6 5 4 2 6 2 4 2 6 2 5 2 2 6 2 3 4 6 2 2 6 6 6 6
## [12309] 6 6 2 2 6 2 6 2 6 5 2 5 4 1 6 5 6 2 6 5 2 2 2 5 3 3 3 2 6 2 1 6 6 6
## [12343] 4 3 2 3 4 5 6 3 6 2 1 6 2 3 2 5 3 3 6 6 4 1 3 6 6 6 1 2 6 6 1 2 3 5
## [12377] 1 5 4 4 4 6 2 3 4 2 5 3 5 6 2 4 1 3 6 2 1 6 6 2 4 1 2 6 2 6 6 3 5 4
## [12411] 3 3 6 6 5 2 6 3 1 6 2 6 2 3 6 2 3 3 6 2 2 2 6 5 3 6 6 2 2 3 2 2 2 6
## [12445] 5 2 5 3 5 6 2 6 6 3 2 6 2 2 6 2 3 5 2 6 6 3 2 3 5 3 2 2 2 2 6 6 2 2
## [12479] 6 6 3 6 6 3 6 3 1 1 2 3 2 6 6 5 2 5 6 1 6 2 5 2 3 2 3 3 2 2 5 3 6 6
## [12513] 6 6 6 5 6 6 2 3 3 3 6 6 5 4 2 5 6 6 3 5 5 3 2 6 6 2 3 1 5 6 5 1 6 5
## [12547] 4 2 3 6 6 4 6 6 6 2 5 6 5 2 6 6 6 5 6 2 4 3 6 3 4 3 6 3 2 2 6 6 6 4
## [12581] 4 2 1 5 6 4 2 3 6 2 5 2 3 3 6 6 5 4 4 2 5 6 2 6 3 6 5 5 6 6 2 2 2 2
## [12615] 6 2 6 5 5 5 2 6 6 3 6 5 5 2 6 6 5 6 6 3 5 5 6 2 5 6 3 2 3 3 2 2 2 2
## [12649] 2 2 6 3 3 3 1 5 2 5 5 2 2 2 6 3 4 6 6 6 3 6 3 5 2 6 6 6 3 6 3 5 2 2
## [12683] 5 4 6 6 1 2 6 6 5 6 2 3 6 2 1 6 2 2 3 1 6 6 3 2 6 3 6 5 2 2 2 6 3 3
## [12717] 3 5 6 6 1 3 6 1 2 3 6 6 2 3 3 2 5 2 6 6 2 6 6 2 3 2 2 5 4 2 3 2 5 4
## [12751] 5 6 3 2 5 4 2 2 3 3 2 6 6 6 5 6 6 3 5 2 2 3 6 2 3 6 2 2 2 6 5 2 6 5
## [12785] 2 3 3 1 2 6 5 6 6 2 6 2 3 3 5 6 2 4 6 4 6 5 6 2 5 6 3 5 4 3 3 2 3 6
## [12819] 3 2 1 3 3 5 1 6 1 5 2 2 6 6 2 6 6 5 6 3 6 2 2 2 2 3 2 2 6 6 1 2 2 2
## [12853] 5 1 1 6 6 6 6 2 5 2 4 6 3 2 2 4 2 6 3 6 1 1 2 3 2 3 3 5 5 2 5 6 2 6
## [12887] 2 6 6 1 3 5 5 5 5 5 6 2 5 6 5 6 3 1 3 2 2 6 6 1 3 2 3 2 2 2 3 2 6 6
## [12921] 3 5 1 2 2 2 1 2 3 2 3 3 6 3 2 3 3 6 2 3 2 5 3 2 3 2 3 3 6 1 2 1 6 2
## [12955] 2 3 4 2 2 3 1 2 2 3 6 3 3 3 6 6 2 3 5 2 3 1 6 1 6 2 3 5 6 2 3 5 4 4
## [12989] 6 5 6 4 6 1 1 1 2 2 5 6 6 6 1 3 5 2 6 5 3 2 3 1 6 2 6 5 2 1 3 2 6 3
## [13023] 5 2 6 6 2 2 5 2 6 3 2 2 4 5 6 4 6 5 4 6 5 3 5 6 5 2 4 2 2 5 6 2 5 6
## [13057] 2 2 5 3 5 5 5 2 3 5 3 2 2 2 6 2 5 5 6 5 5 3 6 2 4 3 6 6 2 3 5 5 6 2
## [13091] 6 5 6 6 5 2 5 4 5 4 5 6 2 2 5 2 6 6 6 2 5 3 6 2 1 4 6 6 6 3 3 2 2 2
## [13125] 6 3 2 3 5 4 6 2 6 6 2 3 6 2 2 6 5 5 6 2 6 4 6 5 4 6 3 6 5 3 4 5 3 3
## [13159] 5 2 6 2 6 6 2 2 3 6 2 3 3 6 3 3 3 6 5 2 5 5 5 4 5 4 5 3 4 6 5 5 5 3
## [13193] 5 5 6 3 5 6 4 4 2 6 5 6 2 4 5 3 6 3 2 6 6 1 6 3 3 6 1 6 1 1 2 2 2 6
## [13227] 1 5 5 4 5 2 4 4 2 4 6 3 6 6 6 1 5 5 6 6 6 3 6 6 6 1 2 6 4 2 3 5 2 5
## [13261] 2 2 2 6 4 3 2 6 4 5 2 2 2 5 5 4 6 2 2 6 5 4 4 6 5 2 6 2 2 2 6 6 6 5
## [13295] 6 2 6 6 5 6 2 6 6 6 6 2 5 3 6 6 2 2 2 2 6 5 6 2 2 5 6 6 2 5 4 2 4 6
## [13329] 1 5 6 4 6 2 6 4 5 2 3 6 6 6 5 6 2 4 3 6 6 2 6 3 4 6 3 5 5 3 3 2 3 1
## [13363] 1 6 1 3 6 6 3 3 5 5 5 6 3 6 6 2 1 6 2 3 6 2 5 3 2 6 5 1 6 2 4 4 4 3
## [13397] 3 6 4 4 3 3 6 6 3 2 1 1 1 3 2 1 2 3 6 6 3 3 6 2 3 3 4 3 6 6 4 2 3 6
## [13431] 2 6 2 6 2 3 5 6 3 3 3 3 6 2 2 2 2 2 2 2 2 2 2 5 6 2 6 5 2 4 6 1 1 2
## [13465] 3 5 2 3 2 2 6 6 4 6 6 2 4 3 5 5 3 5 3 2 2 6 5 6 4 6 5 3 3 1 1 3 1 1
## [13499] 1 3 5 2 1 2 3 5 3 2 6 2 3 3 3 6 2 6 6 3 6 6 5 3 6 4 2 1 6 2 3 6 3 3
## [13533] 6 2 6 3 5 3 6 6 2 2 6 6 1 2 6 2 4 2 2 6 3 2 6 2 4 6 2 6 2 2 6 2 3 2
## [13567] 2 2 5 2 6 2 3 6 6 2 1 6 2 6 3 6 6 5 2 2 2 3 5 2 6 5 3 2 2 5 2 5 2 2
## [13601] 6 5 6 2 2 3 1 6 6 5 5 2 5 6 1 2 5 2 2 5 6 5 6 3 4 6 2 5 6 6 6 5 2 3
## [13635] 2 3 6 2 3 2 2 6 2 2 3 6 2 2 6 1 1 3 6 2 5 2 1 4 6 5 6 6 6 2 6 2 3 2
## [13669] 6 3 2 2 2 6 6 5 2 6 5 6 2 2 2 1 6 2 6 6 2 2 6 5 6 2 2 2 6 1 6 3 5 6
## [13703] 3 6 6 6 3 3 2 2 6 6 6 2 6 2 3 5 6 5 6 2 6 5 5 6 6 3 6 6 5 5 2 6 6 5
## [13737] 5 5 6 5 6 5 5 4 4 4 6 2 2 2 3 5 4 6 6 3 1 3 4 5 5 5 5 3 3 6 6 2 6 2
## [13771] 5 2 1 2 2 6 3 6 2 3 6 6 6 6 6 6 1 5 2 2 2 5 5 6 6 6 6 6 6 2 2 2 2 6
## [13805] 2 2 2 2 3 2 5 2 2 5 3 3 2 3 3 5 2 6 2 2 6 2 2 3 3 2 6 2 2 6 5 2 5 6
## [13839] 6 5 3 5 6 3 2 2 6 3 2 5 3 2 2 3 2 2 2 5 2 5 6 6 3 4 6 6 6 5 4 5 2 1
## [13873] 6 3 6 1 6 2 2 5 2 4 3 2 4 4 1 5 3 3 3 3 6 2 4 2 6 4 2 6 3 3 6 2 1 3
## [13907] 5 6 6 5 1 6 5 5 6 3 1 5 3 5 1 2 2 5 6 2 2 3 5 5 6 6 2 6 6 3 3 3 1 1
## [13941] 3 3 3 6 3 3 2 3 3 2 2 3 2 3 2 2 6 3 2 3 3 2 6 2 2 3 6 2 2 6 6 2 6 2
## [13975] 2 2 2 2 3 6 2 2 2 3 3 6 6 5 6 6 5 6 6 2 2 2 2 6 5 2 2 2 2 6 2 2 3 2
## [14009] 2 6 6 6 5 2 6 6 6 2 2 5 6 6 3 1 6 2 5 2 2 6 3 3 6 5 2 2 3 3 2 2 2 2
## [14043] 2 2 5 2 2 4 2 3 3 4 1 5 2 6 6 6 3 2 3 2 6 2 2 2 2 1 3 5 2 1 2 3 2 2
## [14077] 6 2 2 6 6 2 2 6 4 6 4 5 2 2 2 6 2 3 4 2 6 2 2 5 2 6 6 5 6 5 6 2 1 2
## [14111] 2 3 2 6 6 2 2 2 2 3 2 2 6 2 6 2 5 4 6 2 6 5 6 2 6 6 2 2 3 6 2 1 6 6
## [14145] 3 5 2 1 3 6 3 6 6 5 1 3 2 6 5 2 2 2 5 2 6 4 6 6 2 5 3 2 3 4 2 6 2 5
## [14179] 3 3 5 2 5 5 3 3 6 3 2 3 3 5 2 5 3 5 2 3 3 1 2 3 3 2 3 2 6 6 3 2 6 6
## [14213] 2 2 5 6 2 1 1 3 3 2 2 2 3 5 6 2 2 5 6 6 6 3 2 6 2 2 2 5 2 3 6 2 6 6
## [14247] 3 2 3 3 1 2 3 3 2 6 6 4 2 2 3 3 2 6 3 2 5 6 6 6 2 2 6 2 2 6 6 1 6 1
## [14281] 2 2 2 2 2 6 2 2 6 6 2 5 2 6 3 6 6 2 2 2 6 2 2 6 2 6 6 6 6 4 2 2 2 6
## [14315] 5 6 2 2 5 2 6 4 2 2 6 2 2 5 4 2 6 2 6 6 2 3 2 6 6 2 2 6 5 6 6 3 3 2
## [14349] 6 3 2 3 2 3 6 6 4 4 6 6 1 6 1 6 2 3 3 3 5 1 4 2 6 6 2 1 1 6 1 6 3 3
## [14383] 1 6 6 3 6 3 6 3 6 3 1 5 3 6 2 6 6 6 6 3 6 2 2 3 6 3 6 6 3 1 2 2 3 2
## [14417] 3 6 2 2 1 3 2 2 3 2 2 3 2 2 3 2 6 3 6 6 5 3 2 3 2 5 6 3 1 6 2 3 5 3
## [14451] 6 3 6 6 6 2 6 6 2 5 2 1 3 5 2 3 1 2 2 1 5 3 2 2 6 2 2 6 2 3 2 6 3 2
## [14485] 1 3 6 2 1 6 3 5 2 3 1 2 3 1 2 6 5 6 2 2 6 3 2 2 2 6 6 5 3 6 5 1 2 4
## [14519] 3 2 2 6 5 3 5 5 3 5 3 2 2 5 3 3 2 3 3 2 1 2 6 3 2 3 2 5 6 5 2 1 2 2
## [14553] 2 1 3 2 2 6 6 1 1 2 2 2 2 6 2 2 6 6 2 5 3 5 1 2 3 2 3 6 2 3 2 3 3 6
## [14587] 2 2 2 3 6 6 3 3 3 3 2 3 2 2 6 3 6 5 3 3 3 3 2 6 3 2 6 2 1 3 6 2 3 3
## [14621] 2 2 3 2 3 3 1 2 3 3 2 1 3 6 6 3 6 2 3 2 2 3 3 2 3 1 2 1 2 3 2 2 3 3
## [14655] 2 6 3 3 6 2 3 6 6 1 2 3 2 2 3 6 6 2 6 6 6 5 6 2 5 4 2 5 2 2 1 6 2 6
## [14689] 6 6 4 5 2 6 6 6 5 5 5 6 2 2 2 5 2 6 6 6 6 5 2 6 6 5 6 6 6 5 2 2 3 6
## [14723] 2 1 3 2 2 2 2 6 5 2 3 1 6 3 3 1 3 3 4 2 2 6 2 2 2 2 6 2 2 6 2 2 2 3
## [14757] 2 3 2 2 6 6 3 3 3 2 5 2 2 2 2 6 2 1 3 3 2 2 3 2 2 3 2 3 2 3 2 1 2 2
## [14791] 3 5 3 2 2 2 2 2 2 6 2 3 3 6 2 2 2 6 2 2 2 6 6 2 3 3 3 2 2 3 2 2 5 3
## [14825] 6 2 2 3 6 6 3 3 3 6 2 2 3 3 2 6 3 3 5 3 3 5 3 3 1 4 3 5 3 2 2 6 3 6
## [14859] 6 6 6 2 4 2 2 2 6 3 2 5 6 2 3 2 3 2 2 3 5 3 2 2 2 3 6 3 1 2 2 2 3 2
## [14893] 6 6 3 1 3 3 6 5 2 3 3 2 3 2 2 6 3 4 2 6 6 6 4 6 2 2 6 6 3 5 5 5 2 2
## [14927] 6 6 6 6 2 5 5 5 3 6 6 6 5 6 2 2 2 2 5 6 6 2 3 2 2 3 6 2 6 6 6 2 2 6
## [14961] 6 6 6 2 6 6 2 2 2 5 6 2 2 3 2 2 5 2 2 6 3 2 5 2 6 6 5 5 2 1 6 2 6 2
## [14995] 6 5 6 3 2 6 2 2 6 2 2 3 2 6 5 6 2 6 2 1 2 2 2 1 1 3 1 3 2 3 3 6 3 3
## [15029] 6 3 2 2 3 3 2 6 3 2 1 2 2 3 3 2 2 2 6 2 3 2 2 2 6 5 2 3 3 3 2 6 6 5
## [15063] 3 3 3 2 2 2 2 5 3 3 2 3 2 2 3 3 2 6 3 3 2 3 3 3 2 2 3 6 2 3 3 3 3 2
## [15097] 3 2 3 2 2 2 3 2 2 3 2 3 2 2 2 2 2 1 3 3 3 6 3 3 2 2 3 6 3 2 2 1 1 6
## [15131] 3 3 2 6 3 3 2 6 3 1 2 2 3 3 2 6 2 3 6 6 3 6 2 2 2 6 5 6 6 2 6 3 2 2
## [15165] 1 6 3 2 2 2 3 6 6 1 3 2 3 2 2 2 3 2 6 6 3 1 2 2 2 1 2 3 2 3 3 6 3 2
## [15199] 3 3 6 2 3 2 5 2 3 2 3 2 3 3 6 1 2 1 6 2 2 3 4 2 2 3 1 2 2 3 6 3 3 3
## [15233] 6 6 2 3 1 5 2 3 1 6 1 6 2 3 5 6 2 3 5 4 6 2 4 6 2 6 2 5 5 4 5 6 5 6
## [15267] 4 5 2 2 6 5 2 2 6 2 6 3 6 5 6 2 3 2 6 2 2 5 6 6 6 2 6 5 4 6 2 6 3 5
## [15301] 1 6 2 3 3 6 6 3 6 3 3 5 6 6 2 2 6 3 2 6 2 5 2 5 2 2 6 3 5 6 2 5 2 1
## [15335] 5 3 2 5 6 3 6 2 2 6 2 2 5 2 2 2 6 6 3 6 2 3 3 6 2 2 6 3 3 2 6 3 4 3
## [15369] 1 6 6 5 5 6 2 2 1 5 4 5 1 2 2 3 6 1 3 6 6 3 6 1 4 2 6 6 6 6 5 2 6 5
## [15403] 3 4 2 2 2 3 6 1 3 2 5 1 3 5 6 4 4 3 2 6 2 4 2 3 5 2 6 6 4 2 6 3 6 2
## [15437] 1 2 2 1 2 1 3 1 2 6 2 5 5 6 3 6 6 2 6 3 6 2 3 3 2 6 6 2 2 2 6 5 6 3
## [15471] 3 6 2 2 6 3 1 2 2 3 3 6 6 3 3 3 3 3 2 6 1 3 6 2 3 2 2 2 2 6 3 2 2 2
## [15505] 6 6 3 4 6 3 3 2 2 6 2 4 5 2 6 2 6 2 2 6 3 6 6 5 5 3 3 3 1 3 6 3 3 3
## [15539] 6 2 5 3 2 6 3 3 2 3 3 1 2 3 3 1 3 5 3 2 3 3 2 1 3 2 2 3 3 6 3 1 3 2
## [15573] 2 3 2 1 2 1 1 2 2 2 3 6 6 3 3 2 3 6 3 3 3 2 1 2 3 2 5 6 6 5 3 2 2 2
## [15607] 2 1 1 6 6 6 1 2 2 6 3 2 6 6 6 2 5 6 5 3 2 2 1 2 2 1 4 2 6 6 6 2 5 6
## [15641] 5 2 6 3 2 2 6 1 2 2 2 6 6 2 3 6 2 5 4 4 1 5 4 5 6 6 3 6 6 5 2 3 3 5
## [15675] 5 6 1 6 3 2 1 6 3 1 6 2 5 2 5 2 6 3 6 6 2 3 2 2 3 6 3 2 3 3 6 6 6 3
## [15709] 6 6 6 3 3 3 5 2 5 6 3 2 2 2 2 2 2 6 6 5 6 2 2 2 2 6 2 6 3 3 3 2 2 2
## [15743] 2 3 2 3 3 2 6 6 3 1 2 2 3 6 3 6 2 2 2 3 6 3 6 2 3 2 3 2 2 6 2 3 3 1
## [15777] 3 2 3 1 2 1 2 6 3 2 2 6 3 1 2 3 3 2 6 2 2 2 3 6 2 2 3 2 3 2 2 2 3 2
## [15811] 3 2 3 1 3 3 1 3 3 2 3 3 2 2 1 2 2 6 2 3 3 6 2 6 3 2 5 2 2 2 2 2 2 2
## [15845] 1 3 1 3 6 3 3 6 3 2 3 2 5 6 2 2 3 2 5 5 3 3 2 6 2 6 6 2 3 4 3 6 3 2
## [15879] 3 6 6 6 3 2 2 2 3 2 5 2 3 1 2 2 2 2 3 3 3 3 2 2 5 6 2 3 2 6 2 3 3 2
## [15913] 2 2 2 3 5 2 2 2 2 2 5 6 2 2 3 6 2 6 2 6 2 3 2 3 2 2 6 3 6 6 2 6 6 6
## [15947] 4 2 2 6 3 6 2 6 2 6 1 6 3 3 5 4 6 2 6 6 6 5 5 2 6 2 6 6 2 2 5 4 2 5
## [15981] 5 6 2 6 5 6 2 6 6 5 6 6 6 2 1 5 5 6 4 2 6 2 5 5 3 3 2 3 1 3 4 3 4 4
## [16015] 2 3 5 5 3 3 2 5 2 6 6 4 6 6 2 2 6 2 2 6 3 2 1 6 4 3 6 1 5 5 5 3 5 5
## [16049] 2 3 4 6 3 3 3 3 4 2 6 5 6 6 5 3 2 5 5 5 5 3 3 3 2 6 6 1 6 5 3 2 5 6
## [16083] 4 6 5 6 4 2 3 2 3 2 2 6 6 6 2 2 4 2 6 6 2 3 2 4 3 4 6 6 4 2 2 6 6 5
## [16117] 2 6 2 6 6 1 6 5 2 6 4 3 6 2 6 2 5 5 3 3 6 6 2 2 5 2 1 6 2 3 5 5 4 4
## [16151] 5 6 2 6 2 6 5 3 6 3 3 2 2 6 3 3 3 5 2 3 6 3 6 6 5 3 3 3 3 3 1 6 2 6
## [16185] 3 2 6 2 3 3 6 1 2 6 2 2 3 2 2 6 3 4 4 5 1 3 6 3 3 3 2 2 3 4 3 3 2 3
## [16219] 1 1 2 3 2 1 1 1 2 3 3 3 2 2 1 3 3 1 3 6 6 3 2 3 5 3 1 2 2 2 2 3 1 3
## [16253] 2 5 1 3 2 2 3 1 6 3 2 3 3 5 3 3 3 3 4 2 1 3 3 2 5 3 2 3 3 2 3 2 2 2
## [16287] 2 3 3 2 3 3 1 3 3 2 3 3 3 3 5 2 3 1 6 6 2 2 6 5 6 6 6 2 5 6 5 6 2 2
## [16321] 6 6 6 4 2 3 2 2 6 5 5 2 2 2 5 2 3 2 5 6 1 2 2 2 3 5 3 2 2 5 6 2 3 6
## [16355] 3 2 3 2 6 2 5 6 6 6 2 6 2 5 3 6 6 6 2 2 2 3 2 2 5 2 3 6 6 3 6 6 3 6
## [16389] 5 2 5 6 2 5 6 1 6 3 5 2 6 2 6 2 3 1 2 2 3 2 2 2 3 2 3 3 2 2 2 2 2 3
## [16423] 2 2 5 2 2 3 3 3 6 3 3 6 3 3 2 3 3 5 2 6 3 3 2 2 3 2 3 3 3 6 3 3 1 6
## [16457] 1 2 2 1 3 3 6 2 2 2 5 3 3 6 3 3 1 6 2 6 3 1 3 2 2 1 2 3 2 2 2 3 2 3
## [16491] 6 2 3 2 2 3 2 3 2 3 2 1 3 3 3 3 3 3 2 2 2 2 3 5 1 2 3 6 2 3 2 3 5 3
## [16525] 1 3 3 2 3 2 5 3 5 3 2 2 3 3 6 1 6 3 1 3 3 3 3 3 3 3 2 2 2 3 3 2 6 2
## [16559] 3 5 3 2 2 2 3 3 6 2 2 2 3 3 6 3 3 1 1 3 3 2 1 1 3 3 3 3 2 3 2 3 3 2
## [16593] 3 1 3 1 3 1 1 3 1 3 2 3 3 3 3 3 2 3 3 2 3 2 3 1 1 1 3 1 3 3 2 2 2 2
## [16627] 3 3 3 3 2 2 2 2 2 3 2 3 1 2 3 2 2 3 6 2 2 2 5 2 6 2 3 6 1 2 1 3 2 5
## [16661] 5 3 3 2 2 5 2 2 3 1 2 2 6 3 6 6 3 3 6 2 5 6 6 3 3 2 2 1 3 2 3 3 3 3
## [16695] 3 1 1 3 1 2 2 2 6 2 2 3 2 2 3 2 3 3 6 3 6 3 2 5 6 3 6 2 1 6 3 3 3 1
## [16729] 3 2 3 1 3 1 1 2 1 3 3 3 1 3 1 3 3 3 3 2 3 1 3 2 2 1 3 1 3 2 3 3 3 3
## [16763] 1 3 3 1 3 3 3 1 3 1 3 3 3 1 3 3 3 3 3 2 3 1 2 1 1 1 2 1 3 3 1 1 3 1
## [16797] 3 3 3 3 1 1 3 3 1 3 3 1 1 2 3 3 3 3 3 6 3 3 3 3 3 1 1 1 3 3 2 1 3 3
## [16831] 3 1 3 3 3 1 3 3 1 3 3 1 3 1 1 3 3 2 1 3 3 3 3 1 2 3 2 1 1 1 1 2 3 1
## [16865] 6 5 2 5 2 3 6 6 2 2 3 2 1 6 5 6 3 2 2 6 6 3 3 2 3 2 3 6 6 1 2 3 2 3
## [16899] 6 2 1 6 6 2 1 3 2 2 2 3 1 6 6 3 6 2 2 6 2 6 2 3 6 2 2 2 6 2 3 2 1 1
## [16933] 3 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 2 2 1 1 1 1 1 1 1 2 2 1 3
## [16967] 1 1 1 5 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 2 1 1 1 2 1 1
## [17001] 1 1 3 5 2 3 5 3 1 2 3 2 1 1 3 6 1 1 6 6 1 2 3 3 2 6 2 3 1 3 3 3 3 3
## [17035] 3 2 3 6 2 2 2 3 2 5 1 3 2 2 2 3 2 3 2 2 6 1 3 2 2 3 3 3 2 3 2 3 2 2
## [17069] 3 3 1 3 3 3 3 3 3 1 3 2 3 3 3 1 1 3 3 6 1 3 3 3 3 3 2 1 2 3 2 3 3 2
## [17103] 2 3 3 3 5 3 2 3 1 2 3 3 3 2 3 1 3 3 5 3 2 3 3 3 2 3 2 3 3 3 1 3 3 3
## [17137] 3 3 3 2 2 3 2 2 2 5 3 3 3 2 3 2 3 3 3 2 3 3 5 3 3 3 3 1 1 3 3 3 3 1
## [17171] 1 3 3 3 3 2 1 1 3 3 1 3 3 1 3 3 3 1 3 1 1 1 1 1 1 1 1 3 3 3 3 3 2 1
## [17205] 2 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 2 2 5 3 3 3 1 3 3 2 2 2 3 3
## [17239] 3 1 1 2 3 3 3 3 2 3 3 2 3 3 5 5 6 6 3 3 2 3 1 2 3 5 3 2 6 1 3 6 2 3
## [17273] 2 2 6 2 1 2 3 3 3 3 2 2 6 3 2 3 3 3 3 3 3 6 6 2 5 2 3 3 3 2 2 2 2 3
## [17307] 3 3 2 2 3 2 2 3 2 2 3 2 1 3 3 5 2 3 2 6 3 3 2 3 3 3 2 3 3 2 2 2 2 2
## [17341] 6 2 1 3 6 2 2 3 3 1 3 3 2 2 3 1 3 2 2 3 1 6 3 3 6 2 3 2 2 6 2 2 6 3
## [17375] 5 5 1 1 6 3 3 2 6 3 3 6 2 2 2 3 3 3 2 3 1 5 1 3 3 3 3 2 6 2 6 2 6 2
## [17409] 3 2 2 3 3 6 1 2 6 3 3 3 2 2 2 2 3 2 2 2 2 3 3 2 2 3 3 3 3 6 4 2 6 6
## [17443] 2 2 2 3 3 3 3 6 2 3 6 3 3 5 2 2 3 1 1 2 1 2 3 3 1 2 3 3 5 3 3 1 2 3
## [17477] 3 2 1 3 3 3 3 3 1 3 3 2 2 3 3 3 2 2 6 2 2 6 5 2 3 6 1 2 6 6 2 3 2 6
## [17511] 6 6 5 2 5 3 6 6 3 2 3 6 2 2 2 3 2 2 2 2 2 6 6 2 2 2 5 3 6 2 6 2 5 6
## [17545] 3 2 2 2 2 6 2 6 2 6 6 2 6 5 6 6 6 2 2 2 2 5 2 6 6 6 2 2 2 2 6 3 5 2
## [17579] 2 3 6 6 2 2 6 2 2 6 2 6 3 4 3 2 3 3 2 2 2 3 3 3 2 3 2 3 2 3 3 3 3 1
## [17613] 3 3 3 2 1 2 2 3 1 2 3 6 2 3 1 3 3 3 2 3 1 3 3 1 1 1 3 3 1 1 3 3 3 3
## [17647] 2 3 1 3 3 1 1 3 3 3 3 3 1 1 3 2 3 3 1 3 2 3 2 3 1 1 2 2 1 3 2 1 2 1
## [17681] 2 1 3 2 1 1 3 6 3 3 3 2 1 2 3 2 3 3 2 3 1 1 2 3 3 3 1 3 6 3 1 3 6 2
## [17715] 1 2 3 6 3 1 1 2 2 2 1 3 3 3 3 3 2 3 1 3 2 6 3 3 2 3 3 3 2 3 3 3 6 6
## [17749] 3 3 2 2 3 3 3 6 3 2 3 3 1 1 2 3 1 2 2 3 3 1 2 3 2 3 2 3 2 2 2 3 3 1
## [17783] 3 2 3 3 3 3 2 3 3 3 2 2 3 2 6 2 3 6 5 2 2 6 5 3 2 2 2 1 2 2 3 2 2 2
## [17817] 3 2 6 6 3 2 1 3 3 6 3 3 3 3 3 3 1 2 6 3 3 3 3 2 6 2 3 3 2 3 2 3 2 1
## [17851] 3 2 2 2 2 3 3 3 3 3 5 1 5 6 2 2 3 2 6 1 3 3 6 1 1 6 2 6 2 2 2 2 3 6
## [17885] 2 2 2 2 3 2 3 2 2 2 2 6 2 2 3 2 2 2 2 2 3 2 6 2 2 2 2 6 3 2 2 2 2 6
## [17919] 2 2 2 3 6 2 2 3 2 2 3 2 2 3 2 2 2 2 3 2 2 6 2 2 3 3 2 2 2 3 3 3 2 3
## [17953] 2 2 3 3 2 2 3 3 2 2 3 2 2 3 3 2 2 3 3 3 3 3 6 2 6 3 2 6 6 2 3 5 2 2
## [17987] 2 2 2 2 2 2 6 6 2 6 2 6 6 2 2 5 6 1 3 6 2 6 2 6 2 5 2 2 6 6 3 1 5 2
## [18021] 2 2 2 3 3 2 6 2 2 3 2 2 2 2 2 2 3 2 2 3 2 6 6 3 2 2 3 6 3 6 3 2 2 2
## [18055] 2 3 2 3 2 2 2 2 5 2 3 3 3 6 3 3 3 2 2 2 3 3 2 2 2 3 3 3 2 3 3 3 5 2
## [18089] 2 3 3 5 3 3 2 2 3 6 6 3 6 3 3 6 6 2 6 6 3 6 6 3 2 2 2 2 6 2 2 3 6 2
## [18123] 6 5 2 2 3 3 3 6 3 2 2 6 2 2 5 2 1 2 6 2 2 2 3 6 6 6 2 5 6 2 6 2 6 3
## [18157] 2 2 6 2 5 2 6 2 2 2 6 6 6 3 6 3 6 3 3 6 6 3 4 2 4 6 6 6 3 2 6 2 2 2
## [18191] 2 6 5 6 2 2 5 6 2 5 3 2 3 2 3 3 2 3 3 3 3 3 3 6 3 2 1 3 3 6 3 6 3 6
## [18225] 6 1 3 1 3 3 2 2 2 3 3 3 2 2 3 3 2 3 3 2 2 3 3 1 2 6 2 3 3 2 2 6 2 3
## [18259] 6 2 6 3 3 2 3 3 3 2 1 3 6 3 1 2 2 3 1 3 2 2 3 2 2 3 3 3 3 2 3 2 3 3
## [18293] 2 3 3 1 1 2 3 3 2 3 5 3 2 3 2 3 3 2 2 3 2 3 1 3 3 2 1 2 3 3 3 3 3 3
## [18327] 3 2 2 2 2 2 3 1 3 1 2 2 3 2 1 3 2 3 1 3 3 5 2 3 3 1 6 2 2 1 3 2 2 3
## [18361] 3 2 3 3 2 2 2 3 3 3 3 3 1 2 1 3 2 6 3 2 3 3 3 3 3 3 2 3 5 1 3 3 2 2
## [18395] 2 2 3 2 3 2 1 6 3 2 3 2 6 3 3 3 2 3 5 3 6 3 2 3 2 5 1 2 2 1 3 3 2 2
## [18429] 3 3 3 5 2 4 2 6 3 3 1 2 2 2 3 3 2 2 2 3 3 2 3 2 2 2 2 2 3 3 2 3 3 2
## [18463] 2 2 6 2 3 3 3 2 2 3 3 2 2 2 3 3 6 2 2 2 3 2 2 2 2 2 2 2 3 2 2 3 6 3
## [18497] 2 2 6 3 2 3 3 2 3 3 3 2 2 2 3 2 2 2 2 3 2 2 2 3 3 2 3 3 1 3 3 2 2 3
## [18531] 6 2 2 3 3 6 2 2 3 3 6 6 6 2 3 6 1 1 3 2 2 2 3 1 2 3 2 1 1 6 2 2 3 1
## [18565] 2 2 2 3 6 3 6 1 2 2 2 6 2 6 3 3 2 3 2 5 3 2 3 2 2 3 2 3 2 3 3 3 3 3
## [18599] 3 2 1 2 3 1 6 6 3 6 2 2 2 2 2 2 2 2 3 2 3 2 3 3 3 2 3 5 3 6 3 1 2 3
## [18633] 6 2 2 2 3 3 3 1 3 2 5 2 3 5 2 6 2 6 3 3 6 2 3 6 2 3 2 3 3 2 2 2 6 3
## [18667] 6 2 2 3 2 5 2 1 3 2 6 6 6 3 3 3 2 2 2 3 1 1 2 2 1 3 3 2 3 2 3 2 3 6
## [18701] 6 6 1 5 5 3 2 3 2 3 3 2 3 3 2 2 2 3 1 2 3 6 3 3 3 3 3 6 2 3 3 3 1 3
## [18735] 1 3 3 3 2 2 3 2 1 3 2 3 1 1 3 3 3 3 3 2 3 6 3 3 3 5 3 2 2 3 2 2 6 3
## [18769] 2 2 2 5 2 5 3 2 6 2 6 2 6 2 1 3 6 2 2 2 6 2 3 2 3 6 3 3 2 2 2 2 3 3
## [18803] 2 6 2 6 5 2 2 3 2 5 6 6 2 5 6 1 6 6 3 2 5 6 2 3 3 2 6 6 5 6 2 3 6 3
## [18837] 3 3 2 6 3 2 3 3 3 3 3 6 2 2 6 2 6 2 6 3 6 3 1 3 2 2 2 1 2 2 3 2 2 3
## [18871] 3 2 3 1 3 3 3 3 3 3 3 2 2 3 2 2 2 3 1 3 6 2 3 2 3 2 1 3 3 3 3 3 2 2
## [18905] 5 3 6 3 3 6 2 3 2 3 6 6 2 6 1 2 1 1 3 2 3 2 1 2 5 6 2 2 3 2 2 3 3 2
## [18939] 3 6 3 3 3 3 2 3 2 3 2 1 2 2 6 2 3 2 6 5 3 2 3 3 3 2 3 3 2 3 2 3 2 6
## [18973] 3 2 2 2 2 3 2 1 2 6 6 3 2 2 2 3 3 3 6 2 1 6 2 3 3 2 6 1 2 3 3 2 2 2
## [19007] 3 1 3 2 6 2 3 6 2 3 3 3 2 6 3 3 3 2 2 5 6 3 2 2 2 3 3 3 1 3 3 1 3 2
## [19041] 5 1 2 3 2 3 2 3 2 1 5 1 3 3 1 3 3 2 1 6 3 2 3 6 2 2 6 3 3 5 1 6 1 5
## [19075] 2 6 2 5 1 2 5 3 2 3 1 3 1 6 2 6 3 6 2 2 6 3 6 2 4 3 1 3 6 2 3 3 2 3
## [19109] 3 3 1 3 2 2 3 2 3 3 2 2 6 3 2 2 3 6 5 1 5 3 2 3 6 6 5 2 2 2 6 2 2 2
## [19143] 2 6 2 2 2 3 6 2 3 6 2 6 3 3 2 6 6 3 3 3 6 2 3 3 3 2 2 2 6 3 3 2 3 2
## [19177] 6 3 3 2 3 2 6 2 2 3 3 2 2 2 3 3 3 3 3 3 2 3 2 2 3 6 2 3 3 2 3 2 2 3
## [19211] 2 3 2 3 1 2 2 3 2 3 2 2 2 3 3 3 2 4 2 2 2 3 2 2 2 1 5 2 3 2 3 2 3 1
## [19245] 3 1 3 3 2 3 3 3 3 2 3 2 2 1 3 1 2 3 2 3 3 3 6 2 5 3 1 3 2 3 3 3 1 3
## [19279] 2 3 6 3 3 3 3 3 6 3 3 3 2 3 3 1 6 2 2 3 2 3 3 3 3 2 2 2 2 2 2 2 6 2
## [19313] 2 2 2 2 3 2 2 2 6 3 3 3 2 2 3 3 2 3 3 2 3 3 2 6 2 2 2 2 5 2 2 6 3 3
## [19347] 3 2 3 2 5 6 4 3 2 2 3 2 2 5 3 3 1 2 1 3 3 3 3 3 5 3 2 4 2 3 2 3 1 2
## [19381] 3 4 3 3 6 3 6 2 2 3 1 6 3 3 2 3 5 3 3 2 3 2 6 3 3 6 6 3 2 2 3 2 2 3
## [19415] 5 2 2 2 2 2 6 2 2 2 3 2 3 2 2 6 2 6 2 2 6 2 2 3 6 2 6 2 3 2 2 2 2 2
## [19449] 2 2 3 6 6 6 2 2 6 2 6 6 6 2 2 3 3 6 6 4 3 2 3 3 2 2 2 2 6 3 6 6 2 3
## [19483] 3 3 1 3 2 2 1 3 6 3 1 2 3 2 3 3 3 3 3 6 3 1 3 2 3 3 2 3 3 3 3 2 3 3
## [19517] 3 2 2 2 2 2 1 2 3 3 1 2 3 2 2 6 3 2 3 6 2 2 3 3 1 3 2 2 6 1 3 6 2 2
## [19551] 3 6 2 5 2 2 3 6 1 3 3 2 2 3 5 3 2 3 6 3 3 3 3 6 2 3 3 3 3 3 2 2 5 6
## [19585] 2 2 3 3 6 3 2 2 2 2 2 2 3 2 2 2 3 3 6 6 3 3 2 3 3 3 3 2 6 2 3 6 2 3
## [19619] 3 1 1 3 2 3 3 2 3 2 3 2 3 3 2 2 3 3 1 2 2 3 2 3 3 5 3 2 2 6 3 2 3 6
## [19653] 6 2 2 2 5 6 6 3 2 2 2 2 2 5 3 2 2 6 3 2 2 3 3 2 2 6 3 2 6 2 3 6 3 2
## [19687] 1 6 3 6 2 2 2 1 2 1 2 6 3 3 3 3 2 1 1 2 3 3 2 3 5 3 2 3 2 3 3 2 2 3
## [19721] 2 3 1 3 3 3 2 2 1 2 3 3 3 3 3 3 3 2 2 2 2 2 3 1 3 1 2 2 3 2 1 3 2 3
## [19755] 1 3 3 5 3 2 3 3 1 6 2 2 5 1 3 2 2 3 3 2 3 3 2 2 2 3 3 3 3 3 3 1 2 1
## [19789] 3 2 6 3 2 3 3 3 3 3 3 3 2 3 5 2 2 2 3 3 2 3 2 6 1 1 6 6 2 2 2 2 3 3
## [19823] 3 3 6 3 2 3 2 3 2 2 3 3 2 3 3 6 3 3 2 2 3 3 3 2 5 2 2 3 3 6 3 2 2 2
## [19857] 6 3 3 3 3 2 2 3 6 3 2 2 2 3 3 3 3 2 2 2 6 3 2 3 6 3 2 3 3 2 2 2 4 1
## [19891] 3 3 2 5 6 6 6 2 6 2 6 2 5 2 2 4 6 6 5 4 5 5 5 2 6 2 6 5 3 6 1 3 3 1
## [19925] 1 3 3 3 1 1 1 1 3 1 3 1 1 1 1 1 3 1 3 3 1 1 1 2 1 2 1 1 3 3 1 1 1 1
## [19959] 1 1 6 2 2 5 5 1 3 1 1 6 6 6 6 6 6 2 6 2 2 2 2 6 6 6 6 6 5 5 6 6 6 6
## [19993] 2 3 3 6 3 6 6 2 6 2 1 3 6 5 4 3 2 5 3 6 2 2 6 5 2 2 2 2 6 1 2 3 2 6
## [20027] 2 5 2 3 2 2 6 2 2 1 5 2 6 2 6 2 2 2 2 5 2 2 6 6 3 3 2 3 3 3 2 3 6 6
## [20061] 6 3 6 2 1 6 2 2 1 2 2 2 2 3 6 3 6 4 6 2 2 2 2 6 6 6 6 2 2 1 2 2 1 1
## [20095] 1 3 2 3 1 2 3 3 3 3 3 3 3 2 3 3 1 6 1 1 1 3 1 3 1 2 3 3 2 3 3 3 3 3
## [20129] 3 3 2 3 3 1 1 1 3 3 3 1 1 1 1 1 2 3 1 3 1 3 1 3 3 1 1 1 3 1 3 2 3 1
## [20163] 3 6 3 2 5 4 5 4 3 1 3 5 2 1 3 1 5 1 3 5 3 6 2 5 6 5 6 6 1 6 6 5 6 5
## [20197] 5 3 5 5 5 1 6 3 5 2 2 6 5 5 6 5 5 6 2 5 6 2 2 6 1 5 5 5 5 6 4 2 5 6
## [20231] 3 6 2 1 1 2 2 2 2 3 2 3 3 2 2 6 6 1 1 3 2 3 3 3 3 4 5 6 2 6 3 2 2 6
## [20265] 3 5 3 2 2 6 1 6 2 3 1 3 2 5 3 2 2 2 6 3 6 3 1 6 3 2 6 5 6 2 3 3 3 5
## [20299] 3 2 3 2 2 6 6 3 6 5 3 3 2 6 6 3 3 3 2 6 2 3 2 3 6 3 1 3 6 3 2 3 2 3
## [20333] 3 3 2 3 3 6 3 3 1 3 6 2 3 3 2 3 1 2 3 2 3 3 2 2 1 2 2 2 2 2 3 3 3 2
## [20367] 2 3 2 3 6 3 2 2 3 3 2 2 1 1 2 6 3 3 2 3 3 6 6 6 2 2 3 2 2 2 2 5 6 5
## [20401] 1 6 5 2 2 6 5 3 6 6 6 2 3 2 6 2 2 2 3 3 3 3 3 2 3 2 3 2 2 2 5 6 6 6
## [20435] 2 3 2 2 6 2 2 3 2 6 6 2 2 2 3 2 6 2 2 2 2 6 6 2 2 3 2 2 3 3 6 2 3 2
## [20469] 2 6 3 1 2 2 2 6 2 2 3 2 3 3 6 3 2 6 3 2 3 2 2 6 6 1 2 3 2 3 3 3 4 6
## [20503] 6 5 5 2 3 2 2 2 3 3 2 3 2 3 3 3 6 2 6 2 2 2 2 2 3 3 3 1 6 1 3 2 3 3
## [20537] 6 6 2 6 6 2 2 2 2 2 2 3 3 6 2 2 3 3 2 3 6 3 6 2 6 2 4 2 6 6 2 2 5 5
## [20571] 5 2 5 5 4 6 4 2 6 4 4 2 3 5 2 6 2 4 6 6 2 6 2 5 4 4 4 6 4 6 3 6 2 4
## [20605] 5 4 6 2 2 5 5 6 6 6 5 5 6 2 4 5 2 2 6 5 6 1 5 5 6 5 3 2 5 2 2 5 6 2
## [20639] 6 5 2 2 4 4 4 6 5 2 6 5 5 6 5 6 6 2 4 3 3 2 3 2 2 2 3 6 2 2 3 2 2 6
## [20673] 3 2 2 3 2 2 2 6 3 2 3 2 2 3 6 6 2 2 6 2 2 3 6 2 2 2 6 2 2 1 4 2 2 2
## [20707] 2 3 2 2 6 3 3 6 6 2 2 6 2 6 2 2 6 3 3 2 3 3 2 6 6 3 2 2 1 6 2 2 5 6
## [20741] 2 2 2 3 2 6 2 3 2 2 3 3 3 2 5 1 3 3 1 2 4 1 2 3 2 3 3 3 3 3 2 2 2 6
## [20775] 3 3 2 2 2 3 2 1 3 2 2 3 3 3 3 6 1 2 3 3 3 1 3 3 3 2 3 3 3 3 3 1 2 6
## [20809] 1 5 2 3 1 1 1 3 1 3 1 3 3 1 1 3 3 2 3 3 1 1 3 3 1 1 2 1 3 1 1 3 3 3
## [20843] 3 1 1 1 2 2 1 1 2 3 2 3 3 2 3 3 1 1 1 3 1 3 1 3 1 2 3 3 3 1 3 3 3 3
## [20877] 3 1 1 3 1 3 3 3 2 3 2 3 2 2 3 3 1 3 3 3 3 1 3 1 3 1 3 3 3 2 2 6 6 3
## [20911] 2 3 6 2 3 6 6 3 2 5 2 3 1 3 2 3 2 2 2 2 2 2 2 3 5 3 3 6 6 2 2 2 2 6
## [20945] 2 6 2 3 3 3 6 2 2 5 6 3 2 3 6 6 6 5 2 3 3 6 3 6 3 6 2 5 3 2 3 1 2 3
## [20979] 3 6 3 6 3 3 6 3 3 2 6 3 3 3 2 2 2 6 3 2 3 3 3 3 3 3 3 2 2 3 2 2 3 5
## [21013] 2 3 3 6 2 3 2 2 3 6 6 3 2 1 3 2 3 2 3 2 2 3 3 2 2 2 3 3 1 2 2 2 2 1
## [21047] 2 3 3 3 3 3 3 2 6 3 2 3 3 6 6 6 2 3 3 2 2 6 3 1 1 2 5 2 2 2 1 3 2 2
## [21081] 3 3 3 2 3 3 2 6 2 3 2 2 2 2 2 6 6 2 6 3 2 5 6 2 2 3 1 5 2 3 5 2 2 2
## [21115] 2 2 2 6 3 2 3 1 5 3 2 2 2 2 2 3 6 5 2 2 2 1 3 2 3 2 6 2 6 2 3 6 3 2
## [21149] 1 2 3 1 3 6 3 2 1 3 2 3 2 2 2 1 2 2 6 5 2 4 2 6 4 6 6 6 6 6 6 2 2 5
## [21183] 2 6 6 6 2 6 3 6 3 5 2 6 5 2 2 6 2 6 2 2 6 3 2 6 1 3 2 5 6 6 1 2 3 6
## [21217] 2 5 2 3 4 2 2 2 3 1 2 3 2 2 3 2 2 3 1 6 2 3 2 3 2 3 2 3 3 3 1 3 2 2
## [21251] 3 6 2 2 6 2 3 2 2 2 6 2 2 3 2 3 6 6 1 2 3 6 2 1 1 3 5 2 3 2 2 6 6 2
## [21285] 1 3 5 5 5 5 2 2 2 3 2 2 1 2 2 2 1 3 1 2 2 2 6 3 3 3 2 3 5 2 3 1 2 3
## [21319] 3 3 6 2 2 5 3 2 5 4 4 4 2 2 6 6 2 2 3 3 2 3 2 2 3 2 2 2 6 2 2 6 2 2
## [21353] 2 3 3 6 3 3 5 2 1 2 2 1 6 1 3 2 2 3 6 1 3 1 3 2 3 3 2 3 2 1 3 3 3 3
## [21387] 1 3 6 3 1 2 1 1 3 1 3 3 2 3 1 1 3 2 3 3 1 2 6 1 3 1 6 1 2 3 3 2 1 2
## [21421] 1 2 2 3 1 2 2 6 3 3 3 1 1 3 1 3 3 3 6 1 1 3 6 2 1 1 1 3 1 3 1 3 3 3
## [21455] 3 1 2 1 2 2 3 3 6 6 2 2 3 1 1 3 3 3 2 2 2 3 1 2 3 3 6 3 2 6 3 2 3 1
## [21489] 3 1 5 2 2 2 3 3 2 2 2 5 2 2 5 6 3 2 2 3 3 6 2 3 3 3 3 1 6 6 1 1 3 1
## [21523] 3 2 2 3 1 2 3 2 3 3 3 3 3 2 2 3 3 3 2 3 3 1 3 3 3 3 2 3 2 1 1 3 1 3
## [21557] 3 3 2 1 3 3 3 3 2 2 3 2 1 2 3 3 3 2 3 3 3 3 2 2 3 1 1 1 3 3 3 2 3 3
## [21591] 6 6 3 2 3 6 3 1 1 3 3 3 3 1 3 3 1 3 3 6 3 5 3 1 3 3 1 3 3 3 2 3 2 3
## [21625] 3 3 3 3 3 1 1 3 3 6 1 3 2 2 3 3 6 6 3 3 2 3 3 2 3 3 6 3 2 1 3 1 2 3
## [21659] 3 3 1 1 6 1 3 1 1 2 3 2 2 3 1 2 3 2 6 2 1 1 1 1 3 3 2 1 3 3 2 2 3 1
## [21693] 6 2 6 1 1 2 1 2 2 1 6 2 2 2 3 6 6 4 5 5 2 6 4 4 6 5 6 2 6 6 2 6 3 2
## [21727] 2 6 2 2 2 2 2 3 6 2 6 3 2 3 5 2 2 2 2 5 5 1 2 6 5 6 3 2 5 4 6 1 2 2
## [21761] 2 4 6 2 6 2 6 2 5 1 2 2 6 6 5 5 2 6 2 6 6 5 6 3 5 6 6 2 2 6 6 6 6 6
## [21795] 6 2 2 6 6 6 2 2 6 2 6 2 6 5 6 2 2 6 6 6 5 5 6 6 6 6 1 6 2 2 5 5 2 2
## [21829] 3 5 2 2 2 2 6 2 6 2 2 5 5 6 5 4 2 6 6 2 2 6 6 5 6 6 6 6 6 6 5 6 6 2
## [21863] 6 5 3 6 6 6 6 5 6 2 2 6 6 6 6 6 6 2 3 2 2 6 2 6 5 2 6 3 6 2 2 6 6 3
## [21897] 2 2 3 3 4 3 3 6 2 6 3 2 2 3 3 3 2 3 3 2 2 3 2 2 1 3 3 3 3 6 1 3 2 1
## [21931] 3 3 3 5 1 2 1 6 1 3 3 3 2 3 3 3 2 1 3 2 3 3 2 3 3 3 3 6 3 2 3 3 1 3
## [21965] 1 2 3 2 3 3 3 1 3 2 2 3 2 3 2 5 2 5 2 6 6 3 6 2 2 6 6 6 6 4 6 4 4 2
## [21999] 2 5 6 6 2 6 5 6 2 4 2 6 3 2 2 1 2 6 5 6 6 2 3 2 3 3 6 3 5 6 3 2 2 2
## [22033] 1 2 2 3 2 3 6 2 2 6 6 5 6 1 2 2 6 3 3 6 5 1 2 3 2 3 2 1 5 2 3 6 6 2
## [22067] 6 6 6 6 6 3 2 6 6 3 3 2 3 3 6 3 1 3 2 1 2 5 6 1 2 5 4 2 4 1 2 3 6 3
## [22101] 3 6 1 2 3 6 4 3 5 2 6 3 2 2 3 2 6 6 1 1 6 2 3 1 2 3 6 2 2 2 2 2 6 6
## [22135] 2 2 3 5 2 6 5 3 3 6 2 2 1 2 6 3 6 3 2 6 2 2 3 2 6 2 2 6 3 3 3 6 5 2
## [22169] 3 3 3 3 6 2 1 2 3 3 3 3 2 5 2 3 3 6 2 6 6 6 2 3 3 2 2 6 6 1 2 3 2 3
## [22203] 2 3 3 3 3 3 2 2 2 3 3 2 2 2 3 2 2 2 3 5 6 2 6 2 2 6 3 6 1 3 1 6 6 2
## [22237] 2 3 1 2 3 1 6 6 3 2 2 2 2 3 2 3 2 2 6 2 2 2 2 5 2 2 6 2 3 3 2 2 2 3
## [22271] 6 5 6 6 2 2 2 2 2 6 2 6 2 2 3 3 2 2 6 6 3 6 6 3 1 4 1 3 3 2 2 5 6 3
## [22305] 2 6 6 2 2 3 2 3 3 3 6 6 6 6 6 1 2 3 4 6 3 2 2 3 2 3 2 3 3 2 2 3 6 6
## [22339] 3 3 2 2 2 2 2 3 2 5 3 2 3 2 2 2 2 3 2 3 2 3 3 2 3 5 3 3 6 2 1 3 1 6
## [22373] 2 3 1 6 3 2 2 6 3 3 2 2 2 2 3 2 2 3 2 6 2 6 2 2 6 2 2 3 3 2 2 2 2 2
## [22407] 2 3 3 1 2 3 3 1 3 3 6 3 3 3 2 2 6 6 3 3 5 6 5 3 6 2 3 3 3 3 2 6 6 3
## [22441] 3 2 6 2 2 3 6 5 3 6 3 1 6 3 3 5 2 2 6 4 6 3 6 2 5 3 6 5 4 2 2 5 6 5
## [22475] 6 3 2 6 5 2 2 5 6 3 2 2 2 3 5 2 2 5 5 5 6 2 5 3 2 2 4 5 6 4 6 2 3 6
## [22509] 2 3 2 6 3 6 5 4 2 6 3 6 4 4 4 5 6 5 1 6 2 3 2 3 1 1 3 6 3 3 3 3 2 2
## [22543] 2 2 3 6 2 2 6 5 2 6 2 5 3 5 1 6 3 2 3 2 2 3 2 2 5 3 2 6 2 6 3 5 6 6
## [22577] 1 5 6 3 2 2 2 2 3 6 2 6 3 3 3 3 2 6 6 6 2 6 5 6 5 2 6 6 1 6 3 2 1 3
## [22611] 6 6 1 6 6 6 2 2 2 5 6 5 2 2 2 5 6 3 6 6 2 6 6 2 2 3 2 5 3 2 2 3 3 6
## [22645] 6 6 6 6 3 3 6 6 2 6 5 6 2 3 6 6 3 6 5 3 4 1 6 2 1 1 2 3 6 2 6 1 6 1
## [22679] 2 4 6 6 3 2 2 2 3 3 3 3 3 3 5 3 1 3 6 3 6 1 6 2 2 5 5 5 2 2 2 1 5 3
## [22713] 3 3 3 1 3 3 6 4 1 5 1 1 1 2 6 5 3 3 5 4 6 2 5 3 6 3 6 3 2 5 3 2 3 3
## [22747] 2 2 6 6 6 5 2 3 6 5 6 4 5 6 6 1 3 2 3 1 1 2 3 2 3 1 3 2 3 1 1 2 6 3
## [22781] 3 3 3 2 4 1 3 3 1 6 4 3 1 2 3 3 3 3 3 3 3 1 3 3 3 2 1 1 2 1 3 1 1 2
## [22815] 3 3 1 3 6 3 2 6 3 2 3 3 3 2 6 2 6 2 2 6 2 3 6 4 2 3 2 3 3 5 3 6 2 2
## [22849] 1 3 6 5 5 3 2 5 6 5 2 6 6 2 2 2 2 6 5 3 3 6 6 4 3 2 3 1 3 5 3 2 6 2
## [22883] 2 3 3 1 2 2 6 6 6 4 5 5 1 6 2 5 3 2 6 6 6 6 1 2 2 3 2 6 6 5 2 3 3 3
## [22917] 2 2 5 3 3 4 5 3 2 6 2 3 2 1 2 3 1 3 3 1 2 3 2 3 2 1 2 3 2 2 3 2 3 1
## [22951] 2 2 3 2 1 6 3 1 2 3 3 3 1 3 1 3 2 3 1 2 3 2 1 3 3 2 3 2 2 3 2 3 6 1
## [22985] 3 3 3 1 6 6 6 3 2 2 3 1 3 1 1 5 2 1 5 6 3 3 3 3 2 1 6 6 2 6 2 3 3 3
## [23019] 2 2 1 3 6 2 3 5 5 1 3 3 3 1 3 2 3 3 1 2 3 5 2 3 1 3 6 5 3 6 3 2 6 3
## [23053] 2 3 2 3 2 2 1 3 1 2 5 2 1 2 2 2 3 2 3 2 3 5 3 3 2 1 5 6 1 2 3 5 1 2
## [23087] 3 2 3 3 3 3 3 2 2 2 3 1 1 2 3 2 3 3 1 3 3 3 3 2 2 2 3 2 3 3 3 3 3 3
## [23121] 3 1 5 3 3 3 3 3 2 3 2 6 1 3 3 3 1 2 3 3 2 3 3 3 3 3 3 1 5 1 1 3 3 3
## [23155] 6 1 3 2 3 3 3 3 2 2 3 3 3 6 2 3 3 3 3 3 3 2 1 1 3 1 2 3 3 3 3 1 1 3
## [23189] 3 1 3 3 1 1 6 1 2 3 3 3 3 3 3 3 1 2 3 3 3 1 3 1 1 2 3 2 1 3 2 3 2 1
## [23223] 3 1 1 3 1 3 1 3 3 2 2 1 2 2 3 2 2 2 1 3 3 2 1 1 1 3 1 3 5 2 3 2 5 6
## [23257] 2 6 2 1 3 1 2 1 1 3 1 3 2 5 2 1 3 3 2 3 3 2 2 2 3 3 2 3 1 3 2 3 6 2
## [23291] 3 3 1 6 2 2 2 1 3 2 3 3 3 1 3 3 2 2 3 2 2 5 2 3 1 3 3 2 6 2 2 2 3 3
## [23325] 2 2 1 1 1 1 3 1 1 3 6 2 2 6 6 6 2 6 5 2 2 2 2 2 2 2 3 6 6 3 2 6 6 6
## [23359] 6 2 6 2 6 2 5 6 6 6 3 2 6 6 2 6 6 3 6 2 6 2 1 6 3 2 6 6 2 6 6 3 2 6
## [23393] 2 6 2 5 6 2 6 5 6 6 2 6 2 2 2 2 6 2 2 6 6 2 2 3 6 3 5 2 6 2 6 6 2 5
## [23427] 2 2 3 2 6 2 5 6 2 2 3 2 3 2 2 3 3 2 3 2 2 3 2 1 2 3 3 6 3 3 3 3 3 3
## [23461] 1 2 3 3 3 1 1 3 1 3 3 3 1 3 1 2 2 3 3 3 3 1 3 3 3 2 2 6 3 5 6 2 2 6
## [23495] 3 1 3 2 6 2 2 2 3 3 2 3 2 4 5 1 2 2 1 2 6 2 5 3 3 2 2 6 3 6 1 3 1 1
## [23529] 6 6 6 2 2 3 4 3 6 2 6 2 6 6 3 2 2 4 2 6 3 6 2 2 6 2 3 2 6 6 2 3 1 1
## [23563] 3 6 6 3 1 5 5 2 3 2 6 2 2 3 3 1 6 6 1 3 3 1 6 3 1 2 3 3 1 1 1 2 2 3
## [23597] 3 1 3 3 1 2 2 3 2 2 1 2 2 3 2 1 1 3 2 3 1 1 3 3 3 1 1 3 3 2 6 1 1 1
## [23631] 2 1 3 3 3 1 1 1 3 2 2 3 6 3 6 3 2 1 3 3 3 3 1 3 1 2 3 1 3 3 2 2 3 3
## [23665] 1 1 1 3 3 3 2 3 3 2 3 2 2 3 2 3 3 3 3 3 3 3 1 2 2 2 3 6 1 3 2 2 3 3
## [23699] 2 3 1 2 3 3 3 3 3 2 2 2 3 3 3 2 3 3 2 2 2 2 3 3 3 3 1 6 3 2 3 3 2 2
## [23733] 2 6 2 3 3 6 3 3 3 2 2 2 3 5 2 3 3 6 3 3 3 2 2 3 2 2 3 1 3 3 3 3 2 2
## [23767] 1 2 1 2 3 1 3 3 3 3 3 1 6 2 2 1 3 2 2 3 2 3 2 2 3 3 3 3 3 3 1 2 2 6
## [23801] 3 2 3 3 3 3 2 5 3 2 2 2 2 3 6 2 3 2 3 3 3 3 2 2 3 3 2 3 2 3 2 3 2 3
## [23835] 3 6 6 6 2 3 1 3 2 3 3 3 2 3 3 2 2 2 4 3 3 3 3 2 3 2 2 1 3 3 3 3 2 2
## [23869] 2 6 3 3 3 3 2 3 2 2 3 2 2 3 2 3 2 3 3 2 3 3 2 3 3 2 1 6 2 3 5 2 2 2
## [23903] 2 2 2 3 2 5 2 6 2 2 1 3 1 1 6 6 2 3 5 3 3 1 3 1 6 6 6 3 2 6 2 3 2 3
## [23937] 2 1 6 6 3 6 3 2 1 3 6 2 6 6 3 2 3 3 3 6 2 1 6 2 3 3 2 6 6 1 3 3 2 3
## [23971] 6 3 5 2 6 5 6 3 2 1 1 2 2 6 3 5 2 3 1 1 6 2 3 6 1 5 3 6 6 6 6 1 6 2
## [24005] 5 2 3 2 3 3 3 2 3 3 5 2 1 3 2 1 6 6 6 6 2 5 5 6 6 5 6 2 2 2 2 2 6 2
## [24039] 2 6 2 2 2 5 2 4 6 4 5 2 5 5 2 6 2 6 6 5 6 5 5 6 5 5 6 5 5 4 6 4 5 6
## [24073] 2 3 5 6 3 5 1 6 2 6 5 5 6 6 6 6 6 5 5 6 5 5 5 2 6 6 2 6 6 6 6 6 6 2
## [24107] 5 5 2 6 6 6 2 2 6 4 6 6 6 6 6 2 5 6 2 5 6 2 5 3 6 2 2 6 6 6 2 6 6 6
## [24141] 5 2 2 6 6 2 6 5 2 6 5 6 6 2 5 2 6 6 6 6 2 6 5 2 6 2 5 6 2 6 5 6 6 5
## [24175] 6 6 6 5 2 6 2 5 5 6 6 2 5 4 6 6 5 6 6 5 6 5 6 6 6 6 6 6 6 6 2 6 2 2
## [24209] 5 6 5 5 5 4 2 5 5 5 6 2 6 6 5 5 6 6 2 5 2 6 2 6 6 6 6 6 6 6 2 6 5 6
## [24243] 2 6 2 5 6 2 6 2 5 2 5 6 6 5 3 6 6 2 6 6 6 3 2 6 6 6 6 6 6 5 2 4 6 2
## [24277] 5 6 2 2 6 3 6 5 2 2 6 6 5 2 2 2 2 6 6 4 5 1 3 2 6 2 5 5 6 2 6 6 1 2
## [24311] 5 2 5 6 5 2 6 1 6 6 2 2 6 5 2 6 6 5 6 5 2 3 2 6 5 6 6 5 2 2 2 6 6 6
## [24345] 3 6 2 3 3 2 2 6 2 6 4 2 6 5 4 6 6 2 6 5 5 6 5 6 6 5 6 6 2 2 6 6 6 4
## [24379] 6 2 1 6 2 6 6 2 6 6 2 3 2 2 2 6 6 6 2 6 5 2 6 5 5 6 2 5 4 6 6 2 2 5
## [24413] 2 4 6 6 2 6 6 6 6 2 6 6 6 6 2 2 2 6 6 6 4 6 6 5 6 5 5 4 4 5 6 4 6 4
## [24447] 5 5 6 2 5 4 6 2 6 6 2 2 6 5 5 5 6 3 5 6 6 2 5 6 2 6 6 5 6 2 6 6 2 6
## [24481] 6 6 6 5 6 5 5 5 2 5 6 5 5 2 5 5 6 5 6 6 6 6 2 2 2 6 6 2 6 5 1 2 2 2
## [24515] 6 6 4 2 2 6 3 2 2 5 2 6 2 5 6 6 6 2 5 2 4 4 2 2 6 2 6 5 6 5 5 6 5 5
## [24549] 2 5 6 6 2 6 6 2 5 6 5 4 6 5 6 6 5 5 6 6 6 2 6 5 5 4 6 2 6 2 6 5 5 6
## [24583] 6 6 2 5 6 6 2 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 2 6 2 6 6 6 5 6 6 6 6 6
## [24617] 6 6 2 6 5 6 6 6 6 6 2 6 6 6 3 6 6 6 6 2 6 2 2 6 4 2 5 6 6 5 3 2 2 6
## [24651] 6 6 6 2 2 5 6 2 5 2 2 2 6 6 6 3 6 6 6 2 2 6 6 2 6 5 5 6 2 2 5 6 5 6
## [24685] 6 3 2 6 5 5 6 5 6 5 5 6 6 6 5 5 6 6 6 6 6 5 6 2 2 6 6 2 6 5 2 2 6 5
## [24719] 5 2 2 6 2 6 6 2 6 6 6 2 6 2 6 6 2 6 5 2 2 6 2 6 6 6 5 5 6 5 5 2 6 5
## [24753] 5 6 6 6 6 2 6 5 6 2 2 2 6 6 6 6 2 6 6 6 6 5 2 6 2 2 6 6 2 5 2 6 6 6
## [24787] 5 6 2 2 2 2 2 6 6 2 5 2 5 6 5 5 6 6 2 5 5 6 5 2 2 6 5 6 6 6 5 6 2 6
## [24821] 6 6 5 6 6 2 5 6 6 6 6 5 2 5 2 5 6 2 6 5 2 2 6 6 6 2 4 5 6 2 2 1 6 6
## [24855] 5 5 2 6 6 6 2 3 2 5 6 6 6 5 6 5 2 4 6 6 5 5 6 2 6 3 6 6 6 6 6 5 6 6
## [24889] 6 2 6 2 6 6 4 4 5 5 5 5 2 6 6 5 2 5 3 6 2 6 5 5 5 5 5 5 6 5 2 6 6 2
## [24923] 2 6 2 6 6 6 2 4 2 5 5 6 6 5 2 5 2 2 6 3 6 6 5 6 6 5 5 6 2 2 5 5 5 5
## [24957] 6 5 5 6 6 5 5 3 6 6 6 6 2 2 6 6 6 6 6 2 6 5 6 6 6 6 5 5 6 6 2 5 2 6
## [24991] 2 2 3 6 5 5 5 5 2 2 2 6 6 4 6 5 6 6 5 5 5 2 6 5 6 6 6 6 6 5 5 6 2 6
## [25025] 5 6 5 5 6 6 2 2 6 3 4 2 2 3 2 5 6 6 2 3 6 2 6 6 2 2 2 2 5 5 6 4 5 6
## [25059] 3 6 6 2 6 6 5 6 2 2 6 2 2 6 2 5 2 2 5 2 2 6 6 3 5 6 2 2 2 6 3 6 6 2
## [25093] 2 6 5 2 5 5 5 5 2 2 2 6 6 6 6 2 6 6 6 6 2 2 6 6 6 2 2 5 3 6 2 2 6 6
## [25127] 6 6 6 5 2 4 6 6 6 3 2 6 6 5 6 6 6 6 6 6 2 5 5 6 2 6 6 3 3 3 2 2 3 2
## [25161] 3 2 6 1 2 5 6 6 6 3 3 6 6 2 3 5 2 6 6 2 5 6 2 3 2 5 2 4 5 3 5 2 6 3
## [25195] 3 3 6 6 3 1 2 2 2 5 2 2 5 6 5 6 6 5 2 6 6 2 1 2 6 6 2 6 6 2 6 2 6 6
## [25229] 1 5 5 5 5 5 5 2 2 6 6 5 2 6 6 6 6 6 6 2 3 3 6 6 2 6 6 2 6 6 6 5 3 6
## [25263] 3 2 2 2 5 5 2 5 6 4 3 2 6 6 5 3 2 2 5 6 6 5 5 3 6 6 5 2 2 4 2 5 6 2
## [25297] 6 3 6 2 5 2 3 3 6 3 6 1 3 2 5 6 5 1 3 2 6 1 3 1 2 6 2 1 2 3 2 6 6 2
## [25331] 1 6 2 3 6 2 3 6 3 3 1 3 1 6 1 6 2 2 1 3 2 1 2 2 6 2 2 3 3 3 2 3 2 1
## [25365] 3 2 2 5 3 3 3 3 3 3 2 3 3 2 1 6 6 3 1 2 2 4 2 2 2 3 2 3 5 1 2 6 3 1
## [25399] 2 2 3 2 5 2 1 3 1 2 2 3 3 5 2 3 5 3 2 1 2 2 3 6 2 2 2 6 2 2 3 2 6 2
## [25433] 3 1 5 2 2 1 3 1 2 5 3 3 3 3 6 6 1 3 5 1 6 5 3 2 6 2 1 3 2 1 3 3 3 3
## [25467] 6 1 2 1 3 6 6 6 3 1 6 3 3 3 3 3 1 2 6 1 5 2 1 3 2 1 2 3 1 3 2 1 6 6
## [25501] 3 5 2 2 2 6 6 1 1 5 2 4 2 2 3 1 5 2 2 6 3 2 2 3 5 3 2 6 2 2 5 3 6 3
## [25535] 3 6 3 2 5 2 2 2 3 6 3 2 2 2 4 6 3 2 2 3 6 2 2 2 2 3 6 3 2 1 3 5 3 4
## [25569] 3 4 4 5 3 1 1 6 5 6 1 1 3 3 2 1 3 2 5 6 3 3 2 2 6 2 2 3 6 6 3 3 3 3
## [25603] 6 2 2 3 6 2 3 6 2 2 2 2 3 3 3 2 2 6 6 2 5 6 6 1 1 3 1 1 6 2 3 3 3 3
## [25637] 5 2 2 4 5 2 3 1 2 3 3 3 1 5 6 6 2 2 3 3 3 6 3 6 6 1 6 6 3 2 2 3 3 1
## [25671] 1 2 2 3 6 3 3 3 2 2 2 3 2 3 2 2 5 5 2 3 3 2 2 3 2 6 3 2 2 2 2 5 3 2
## [25705] 2 2 2 2 6 3 2 3 5 2 1 2 3 5 1 2 3 2 3 5 2 2 3 6 2 3 2 3 2 3 6 3 2 2
## [25739] 6 2 3 6 5 3 3 2 1 2 2 3 1 2 2 3 5 2 3 2 5 3 2 2 6 5 5 1 2 6 6 5 2 2
## [25773] 2 3 2 2 6 3 2 1 2 3 1 1 1 1 2 1 2 1 3 1 1 3 1 5 3 3 3 2 2 6 3 1 2 1
## [25807] 1 2 2 6 2 1 3 1 5 2 5 3 1 3 1 3 1 1 3 5 1 1 5 2 1 1 4 6 1 1 1 2 2 2
## [25841] 5 6 5 6 5 6 4 6 6 6 6 3 2 5 3 6 6 5 2 2 2 6 6 6 5 5 6 4 2 5 6 6 5 5
## [25875] 2 5 6 6 2 2 6 6 6 6 6 6 6 2 2 5 2 4 6 2 5 6 2 6 6 6 6 2 6 5 6 4 6 2
## [25909] 6 6 6 6 6 6 5 5 5 6 6 4 2 6 6 6 5 4 4 3 2 6 2 4 2 6 6 6 1 2 2 2 3 2
## [25943] 2 6 2 4 6 6 2 3 2 1 2 5 1 6 3 3 3 4 3 3 2 6 3 1 1 2 2 2 1 2 3 6 3 6
## [25977] 2 3 2 6 5 5 2 6 2 2 6 3 6 2 6 6 2 6 2 6 6 6 2 6 2 3 6 4 2 2 2 4 6 3
## [26011] 5 6 2 6 2 6 5 2 3 6 2 4 3 2 2 6 2 5 6 6 2 6 2 2 2 2 2 3 6 2 3 6 4 5
## [26045] 5 6 6 5 5 2 3 3 5 2 5 3 2 6 6 3 2 5 2 6 2 2 6 2 2 3 3 2 6 2 2 3 2 2
## [26079] 2 6 6 6 5 2 5 2 2 6 2 6 6 2 4 6 5 5 2 5 6 4 3 5 5 5 3 1 6 5 5 6 2 2
## [26113] 2 2 2 2 5 2 6 2 6 2 2 2 6 6 5 5 6 4 5 2 2 6 6 5 6 2 5 5 5 5 2 3 3 6
## [26147] 2 5 6 6 6 5 2 3 3 2 6 5 2 5 6 2 2 3 2 5 5 3 3 5 2 2 6 2 5 2 3 2 3 3
## [26181] 3 1 2 2 4 2 3 2 2 3 3 3 3 6 2 3 2 6 6 2 3 6 1 3 2 5 6 1 3 1 2 2 5 2
## [26215] 6 6 2 6 2 2 6 3 6 6 6 6 6 3 6 2 6 2 2 2 3 6 2 6 2 3 6 2 1 6 6 6 6 6
## [26249] 3 2 6 2 2 3 6 3 3 3 2 5 5 6 6 2 1 3 2 3 3 2 1 3 1 1 1 1 2 1 1 3 2 6
## [26283] 2 6 3 3 2 2 3 2 3 3 3 2 3 1 1 3 6 6 6 6 6 2 6 6 6 6 6 6 6 3 2 6 3 2
## [26317] 3 2 5 3 1 6 5 4 6 3 4 5 2 2 6 6 5 6 2 5 5 2 6 2 6 2 6 6 6 6 6 5 2 2
## [26351] 6 2 2 6 2 5 2 6 5 3 4 6 6 2 2 5 5 6 6 2 6 6 6 3 1 5 1 3 2 1 2 5 3 5
## [26385] 6 2 5 2 3 3 3 3 5 6 5 1 2 6 3 3 1 4 2 2 6 6 6 2 3 6 3 2 2 6 6 1 3 6
## [26419] 1 6 2 1 1 6 5 6 3 3 2 4 5 1 1 2 3 3 3 1 6 6 5 6 5 2 6 1 1 3 5 2 3 2
## [26453] 2 2 2 2 2 6 6 3 2 6 6 6 2 3 6 6 2 3 2 5 2 6 1 2 6 3 6 6 2 2 4 2 3 6
## [26487] 6 2 2 2 3 3 3 2 2 6 2 3 3 5 2 2 3 2 5 2 6 2 6 2 6 6 2 4 2 6 5 4 5 2
## [26521] 2 2 6 2 2 2 2 2 3 2 3 6 2 6 5 6 3 2 3 6 6 2 3 2 6 1 5 2 6 3 5 6 5 2
## [26555] 5 1 6 2 5 6 3 6 3 2 6 2 3 5 2 6 6 5 2 6 6 3 3 2 6 3 6 2 6 2 6 3 2 4
## [26589] 5 3 3 2 2 3 6 1 2 6 1 1 2 6 1 1 6 2 6 2 3 1 2 2 3 2 2 6 2 5 2 6 6 2
## [26623] 3 6 2 6 6 5 2 5 5 3 5 2 2 6 5 6 6 5 3 6 2 6 6 5 6 2 4 6 6 6 6 2 2 6
## [26657] 2 6 2 6 6 3 3 6 6 2 6 2 6 3 5 5 3 2 5 2 2 2 3 2 2 6 2 3 2 6 3 2 6 6
## [26691] 3 6 3 1 1 5 6 3 2 2 5 1 3 6 6 5 6 6 3 3 5 2 2 2 3 6 6 3 3 3 3 1 3 2
## [26725] 3 3 3 3 1 6 2 3 1 3 3 3 3 2 1 2 2 3 1 2 5 3 1 3 2 3 2 2 3 2 2 2 6 1
## [26759] 6 3 2 6 3 3 6 6 1 3 1 3 2 1 2 3 3 2 6 6 2 3 1 3 6 2 2 1 2 6 2 3 6 2
## [26793] 1 2 6 2 1 3 3 3 3 1 2 1 3 3 3 1 6 1 6 2 3 3 1 3 2 3 2 2 3 2 2 2 6 5
## [26827] 2 6 6 3 2 1 6 3 6 2 3 2 3 6 3 3 3 3 2 6 2 5 1 6 6 6 3 2 1 2 3 3 1 2
## [26861] 2 3 1 1 3 1 3 6 3 1 3 3 3 1 3 1 3 3 1 3 2 2 3 3 3 3 3 2 3 3 3 3 2 3
## [26895] 3 1 3 2 1 3 3 3 2 1 3 1 3 3 1 1 2 3 3 1 3 1 1 2 3 6 2 6 3 3 2 3 2 3
## [26929] 1 6 1 2 3 3 3 3 1 2 3 3 1 3 3 2 3 1 2 2 5 3 6 2 3 2 1 2 2 3 3 2 1 6
## [26963] 1 3 2 3 3 3 3 2 1 5 2 6 2 2 5 3 6 2 1 5 1 3 2 3 3 3 2 3 3 1 2 4 3 1
## [26997] 1 2 3 2 2 2 6 3 2 3 6 2 3 2 5 3 3 2 2 2 1 1 2 5 2 5 3 1 2 2 3 2 6 2
## [27031] 6 3 6 1 3 2 1 3 2 6 1 3 6 6 4 6 3 5 2 2 3 2 2 3 2 2 3 6 6 3 2 6 3 1
## [27065] 2 6 4 3 1 2 3 2 1 1 3 2 3 5 2 1 4 2 6 3 6 2 2 3 3 2 2 3 1 1 2 6 1 2
## [27099] 1 3 3 2 3 5 2 2 6 3 1 5 6 3 3 6 1 2 3 2 2 4 5 3 1 5 5 5 3 2 3 2 5 1
## [27133] 4 4 2 2 2 3 4 2 2 5 4 1 1 4 2 6 5 2 5 4 1 1 4 3 5 3 4 3 2 5 1 3 2 1
## [27167] 3 4 3 3 2 6 4 4 2 2 3 5 2 2 5 2 5 5 4 3 4 2 5 5 5 3 2 5 3 3 6 5 2 2
## [27201] 6 5 4 2 5 5 2 2 2 5 4 5 2 4 4 2 3 3 1 3 2 3 2 3 3 3 3 3 1 1 1 2 1 1
## [27235] 1 3 2 1 6 1 3 1 1 3 6 6 3 1 3 2 3 6 2 1 3 3 2 1 6 3 3 1 3 1 3 3 3 3
## [27269] 3 2 2 3 2 6 3 4 3 4 4 1 6 2 2 2 3 2 2 2 2 2 6 2 2 3 6 3 1 3 3 2 3 2
## [27303] 3 3 3 2 3 1 3 3 6 3 2 3 3 2 2 3 3 3 1 1 2 5 3 3 2 3 3 3 3 1 3 3 1 3
## [27337] 6 5 3 5 2 2 3 3 2 5 3 2 2 3 2 3 2 3 2 2 2 2 3 6 3 3 2 3 6 3 3 2 2 2
## [27371] 3 3 2 3 2 3 2 2 3 2 5 3 2 2 3 3 3 2 3 2 2 1 3 2 4 3 6 2 3 5 2 2 6 3
## [27405] 6 6 3 3 1 4 3 2 6 2 3 6 6 1 3 3 6 3 3 1 3 2 2 3 3 3 5 2 6 2 6 3 2 1
## [27439] 2 2 3 6 3 3 6 3 5 6 1 6 6 2 6 2 6 5 2 2 3 3 2 3 3 2 2 3 2 6 2 2 2 3
## [27473] 5 6 3 2 3 5 1 3 3 3 1 1 1 1 3 2 1 3 1 3 1 1 1 1 3 3 1 3 2 1 2 1 2 1
## [27507] 1 3 3 3 1 3 1 1 1 3 1 3 6 3 1 1 3 1 3 2 2 6 2 3 6 2 1 3 1 6 3 6 6 6
## [27541] 4 3 6 3 3 6 3 2 3 3 3 3 2 1 3 1 3 3 2 3 3 1 3 1 3 6 3 3 3 1 3 3 3 3
## [27575] 3 3 3 6 1 2 3 3 3 1 3 6 3 3 3 1 1 1 3 6 3 3 3 2 2 3 3 3 2 3 3 3 2 3
## [27609] 3 6 2 6 3 3 3 3 2 2 2 3 3 3 2 3 3 2 3 3 3 2 3 6 3 3 3 2 3 3 3 3 3 3
## [27643] 3 3 2 3 6 6 6 3 5 5 5 3 1 2 3 3 3 3 2 3 3 6 2 3 2 2 2 3 6 2 3 6 6 2
## [27677] 6 6 5 3 6 5 2 6 6 3 3 3 3 6 2 3 6 3 2 3 2 2 3 3 2 3 3 3 3 6 2 2 1 3
## [27711] 2 3 3 3 2 2 2 1 2 5 2 2 2 3 3 3 5 3 2 3 2 3 6 6 6 3 3 2 3 3 2 2 1 2
## [27745] 3 3 1 2 1 3 3 3 3 3 2 3 3 1 3 3 2 1 2 3 1 2 3 3 3 6 3 6 3 2 3 5 3 6
## [27779] 3 3 2 3 1 3 2 2 1 1 6 5 2 2 3 3 2 3 3 1 2 3 1 2 1 6 6 2 1 3 1 1 3 2
## [27813] 3 3 1 2 1 3 3 1 1 3 1 1 3 1 1 3 2 1 1 1 3 3 1 2 6 1 6 1 3 3 6 1 1 3
## [27847] 3 3 3 3 1 1 1 3 3 1 3 3 3 1 3 1 3 3 1 2 3 1 3 1 3 3 3 3 2 3 2 3 4 1
## [27881] 4 5 2 2 5 4 3 6 2 2 1 6 5 4 3 2 5 2 6 2 3 2 5 4 3 5 2 6 4 6 5 3 4 4
## [27915] 5 5 3 6 4 6 2 2 5 5 6 4 4 4 4 4 4 2 4 4 1 2 4 2 2 5 4 4 4 5 2 5 6 4
## [27949] 6 3 5 1 2 4 3 5 5 4 5 3 2 4 5 3 6 3 3 2 5 5 3 6 3 5 3 6 6 6 6 5 6 5
## [27983] 2 2 5 2 3 6 5 3 6 5 2 5 6 2 6 5 6 5 5 3 3 4 5 5 5 6 5 5 5 5 5 5 2 6
## [28017] 3 5 5 6 6 6 3 5 2 3 3 6 5 2 6 2 6 6 6 3 5 2 3 5 6 3 5 2 3 3 6 2 5 3
## [28051] 3 2 2 5 3 3 3 3 3 2 1 3 3 3 2 1 1 1 3 2 3 3 2 3 1 2 1 3 3 3 1 1 3 1
## [28085] 1 1 2 3 1 3 3 3 5 1 3 3 2 1 2 3 3 3 3 1 3 1 1 3 1 3 2 1 2 1 1 2 1 1
## [28119] 1 1 1 1 3 1 1 3 3 2 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1
## [28153] 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 6 1 1 3 3 1 1 3 2 3 1 1 1 1 1 1
## [28187] 1 3 3 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 2 3 2 5 1 6 1 3 2 3 3 3 2 1 3 1
## [28221] 5 6 3 2 3 3 2 3 6 3 3 3 6 3 3 3 1 1 2 1 1 2 3 3 3 3 2 3 1 3 3 2 3 1
## [28255] 3 3 1 3 2 3 3 3 5 1 3 6 3 2 3 3 3 1 1 3 2 3 2 3 3 5 1 3 1 2 3 3 6 5
## [28289] 3 3 3 3 3 1 3 5 3 3 5 1 3 1 3 3 3 1 3 1 3 3 3 3 3 3 3 3 1 3 3 3 3 3
## [28323] 3 6 1 3 3 3 3 1 1 3 3 1 3 1 1 3 1 3 3 1 3 3 1 1 3 3 3 3 3 1 1 3 3 3
## [28357] 1 3 1 6 3 3 3 1 3 3 1 1 3 1 1 3 3 3 3 3 3 3 1 3 3 2 1 1 3 1 3 3 1 1
## [28391] 3 1 3 3 1 2 1 3 1 3 3 3 2 1 3 1 1 2 3 2 1 6 2 1 3 1 2 3 3 1 3 6 2 1
## [28425] 2 1 1 5 3 3 3 3 3 1 1 3 3 1 3 1 1 3 1 3 1 3 1 1 1 3 1 3 1 3 1 3 1 1
## [28459] 1 1 1 1 1 1 3 3 3 1 3 2 2 3 6 2 6 2 5 5 1 5 5 5 3 5 2 3 3 3 1 3 5 1
## [28493] 3 1 2 3 2 2 2 3 3 3 3 5 6 5 5 5 6 1 2 3 3 2 2 2 3 3 3 6 6 3 3 2 3 6
## [28527] 2 3 3 5 5 3 3 3 6 6 3 6 1 3 3 3 3 3 2 1 5 5 5 3 3 5 6 2 6 6 6 6 3 3
## [28561] 2 5 5 3 2 3 3 2 1 3 3 3 6 1 1 1 3 2 3 3 3 2 3 6 3 3 3 3 3 1 1 3 2 3
## [28595] 1 1 3 2 1 3 1 3 3 1 1 1 3 3 3 1 3 1 1 2 6 1 1 3 3 1 3 3 2 1 2 3 2 3
## [28629] 3 3 3 1 3 1 1 1 3 1 3 3 3 3 1 2 3 1 2 2 1 2 3 3 3 3 3 3 1 1 1 1 3 1
## [28663] 2 2 6 2 3 1 3 2 1 1 3 3 2 1 1 3 2 1 3 1 3 2 3 3 1 3 1 3 1 1 1 3 1 1
## [28697] 3 1 3 3 3 3 3 1 2 1 3 3 3 1 1 1 3 3 3 3 1 2 6 6 3 5 2 6 2 2 5 2 3 3
## [28731] 6 5 2 2 3 3 3 3 3 5 6 6 3 3 2 3 3 2 1 1 3 1 2 2 6 3 1 3 2 3 2 3 2 3
## [28765] 2 2 3 3 3 2 2 3 2 1 2 3 2 3 3 3 3 3 2 1 2 6 3 3 3 3 3 3 2 1 3 3 6 3
## [28799] 5 6 1 1 1 6 3 1 3 3 2 3 3 3 3 3 3 2 1 3 1 1 3 3 2 1 2 2 2 3 2 5 2 3
## [28833] 6 3 3 3 2 3 3 2 3 3 2 3 1 3 2 1 3 3 2 2 3 1 3 2 6 1 3 3 3 2 3 3 1 1
## [28867] 1 1 1 3 1 3 1 6 2 3 1 1 2 1 3 1 1 1 1 1 3 3 1 1 2 3 3 3 3 2 3 1 6 3
## [28901] 1 3 3 3 3 1 1 1 3 3 1 1 3 3 3 4 3 1 1 1 2 1 3 3 3 1 2 1 2 1 2 3 3 3
## [28935] 1 2 3 1 2 3 1 3 3 3 3 1 3 3 2 2 3 1 1 3 1 3 1 3 3 1 1 3 1 3 6 6 2 6
## [28969] 2 3 5 2 6 3 3 2 5 1 6 2 2 3 2 2 2 3 2 2 2 3 2 2 2 3 2 2 2 1 1 2 3 3
## [29003] 3 2 2 2 2 2 2 1 3 6 3 3 1 3 1 2 2 2 5 3 1 1 3 3 6 2 1 1 2 3 3 6 3 2
## [29037] 3 2 2 2 3 2 3 2 6 2 2 6 2 3 2 2 3 2 5 3 6 5 6 5 5 6 6 6 2 5 6 2 5 5
## [29071] 5 3 6 5 6 2 2 5 5 3 6 6 5 3 6 3 5 6 2 5 5 6 4 2 5 2 6 6 3 6 5 5 2 5
## [29105] 5 6 5 5 6 6 5 6 2 3 5 5 2 6 4 6 5 5 5 2 5 6 5 1 1 3 3 1 1 6 3 3 1 3
## [29139] 3 3 2 3 1 1 2 2 1 1 3 1 1 3 3 1 6 3 3 1 3 1 1 3 3 3 3 1 3 1 3 1 1 3
## [29173] 1 2 1 2 3 2 3 3 3 3 3 3 3 3 1 3 6 2 3 1 1 3 1 1 3 3 2 3 3 3 2 2 3 2
## [29207] 2 3 1 3 2 3 3 2 1 3 2 6 3 2 3 3 3 3 6 3 3 5 3 3 3 2 2 3 6 6 6 2 1 2
## [29241] 2 3 3 6 6 3 2 3 2 2 3 3 5 3 1 3 1 3 3 3 1 1 3 1 3 1 3 1 1 3 1 1 1 3
## [29275] 3 3 1 3 3 3 3 3 1 5 3 2 2 6 2 2 3 1 3 5 3 2 5 2 2 3 1 2 3 3 1 2 2 2
## [29309] 2 2 3 2 2 6 3 6 2 2 2 3 1 2 3 3 5 3 3 3 3 1 3 2 2 3 3 3 6 2 3 3 6 3
## [29343] 2 2 2 3 3 2 6 5 2 3 2 6 2 2 6 1 1 6 2 2 2 2 6 2 3 2 3 6 6 2 3 1 6 2
## [29377] 2 6 3 2 2 6 2 6 6 3 3 6 6 1 2 2 1 2 6 2 3 6 3 6 5 2 3 5 2 6 6 6 5 2
## [29411] 3 6 2 3 2 2 5 2 3 1 3 3 2 2 2 3 1 2 1 1 1 3 2 3 3 3 3 1 1 3 3 1 2 3
## [29445] 2 2 3 1 3 1 3 3 3 6 3 1 3 3 3 3 3 3 3 1 2 3 3 3 1 3 3 3 2 3 3 6 3 1
## [29479] 3 3 1 1 3 6 3 1 2 3 3 3 3 2 1 1 2 3 2 3 1 3 6 2 3 2 6 6 6 2 3 3 3 2
## [29513] 2 5 2 2 2 3 3 6 4 1 2 2 2 3 2 3 5 1 3 3 2 5 3 3 3 3 3 3 3 3 3 1 6 1
## [29547] 6 3 2 3 6 2 2 2 3 3 3 2 3 1 6 3 5 3 3 3 3 6 2 3 6 5 3 2 6 6 2 2 3 6
## [29581] 2 5 6 2 2 2 3 3 6 3 2 3 2 2 3 3 6 5 2 2 1 6 2 2 6 1 1 3 2 3 2 1 1 3
## [29615] 3 1 3 3 1 1 3 1 1 2 2 1 3 3 3 3 1 1 3 3 3 2 1 3 1 1 3 2 2 1 3 3 2 1
## [29649] 3 3 3 1 1 3 3 3 1 3 1 3 3 3 3 3 1 2 3 2 2 1 1 3 2 6 3 3 1 3 3 3 6 3
## [29683] 6 3 3 3 2 3 3 3 3 2 2 1 3 2 2 1 3 3 3 6 2 2 2 2 3 2 3 1 3 2 3 2 6 6
## [29717] 1 2 3 2 3 3 3 3 3 3 2 6 2 1 3 1 3 3 3 6 3 3 3 2 1 3 3 3 1 2 6 6 3 2
## [29751] 1 3 2 6 1 2 3 2 3 3 2 2 3 3 1 1 3 2 2 1 3 2 3 2 3 1 3 3 1 1 3 3 1 3
## [29785] 2 3 1 2 3 3 3 3 3 1 1 2 1 3 3 3 1 3 6 3 2 1 3 3 3 3 1 3 1 2 1 3 3 1
## [29819] 2 3 3 3 3 1 3 3 6 6 3 6 1 3 1 3 3 3 2 3 3 1 6 6 1 1 1 4 1 3 3 2 1 3
## [29853] 2 3 1 2 3 3 2 3 3 5 5 1 2 1 3 6 4 2 2 6 3 3 3 2 2 3 3 3 2 2 2 3 1 3
## [29887] 4 2 3 6 3 2 3 3 3 3 2 6 3 3 3 3 2 3 3 3 2 3 3 6 3 1 3 3 3 2 2 2 3 1
## [29921] 2 2 3 2 2 3 3 2 2 1 3 1 1 3 4 3 1 2 2 6 3 2 3 3 3 3 1 3 3 2 3 3 3 3
## [29955] 1 1 1 2 1 1 1 1 3 2 1 1 6 1 3 1 3 1 6 6 3 1 3 2 3 6 2 1 3 3 1 6 3 3
## [29989] 1 3 3 3 3 3 3 3 2 3 3 2 3 4 6 3 3 3 3 1 3 3 3 1 1 3 2 3 3 2 2 1 3 1
## [30023] 3 3 1 3 1 1 1 1 6 3 1 1 3 1 3 1 1 1 1 3 2 2 1 3 1 3 1 3 3 3 2 3 3 3
## [30057] 2 2 6 3 3 2 3 2 2 6 2 2 3 2 3 6 3 2 3 6 3 2 6 2 6 3 1 2 3 2 6 6 2 3
## [30091] 2 2 2 6 3 2 3 6 3 2 2 6 4 2 6 2 6 2 3 1 1 3 6 3 6 6 6 2 5 6 6 6 5 5
## [30125] 2 3 1 3 3 3 3 6 6 5 6 3 6 4 2 3 3 3 5 6 3 6 6 3 3 2 3 6 3 6 2 2 3 3
## [30159] 1 2 2 2 3 3 3 3 2 3 2 1 3 2 3 3 2 3 2 3 6 3 3 3 2 2 3 6 2 2 5 1 3 3
## [30193] 1 5 6 3 2 3 2 2 3 3 1 3 3 3 1 3 3 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 1 5
## [30227] 3 3 3 1 3 3 2 3 3 2 6 1 3 3 3 1 2 3 3 2 3 3 3 3 3 3 1 5 1 1 3 3 3 6
## [30261] 1 3 2 3 3 3 3 2 2 3 3 3 6 2 3 3 3 3 3 2 1 1 3 1 2 3 3 3 3 1 1 3 3 1
## [30295] 3 1 1 3 1 1 1 1 2 1 1 2 3 3 3 3 3 1 3 3 3 3 6 1 1 3 1 2 3 1 2 3 2 1
## [30329] 3 1 3 3 1 1 3 1 2 1 2 1 3 3 1 1 1 3 3 3 1 3 3 3 3 1 3 1 1 3 3 1 3 3
## [30363] 1 3 3 3 1 3 6 2 1 3 3 1 3 3 2 6 1 1 3 1 3 1 3 3 2 3 3 3 2 1 1 3 3 3
## [30397] 2 3 3 2 2 3 3 3 2 2 2 2 3 6 2 3 2 6 2 3 6 6 2 3 3 3 1 3 3 2 2 2 2 3
## [30431] 3 3 2 2 3 3 3 3 6 2 1 2 2 2 2 2 2 2 2 2 6 6 3 2 2 3 6 2 2 3 2 3 3 3
## [30465] 3 3 3 2 3 3 2 3 2 3 3 3 2 3 3 2 3 3 3 3 2 2 3 2 3 6 2 2 3 2 3 3 3 3
## [30499] 2 3 2 2 3 3 2 2 3 2 3 3 3 2 2 2 2 3 2 3 1 3 3 1 2 2 1 1 3 3 3 1 3 1
## [30533] 3 1 3 3 3 1 1 3 1 3 3 2 3 3 3 3 1 1 3 3 3 2 2 3 3 3 3 3 2 1 3 3 3 2
## [30567] 3 3 1 3 2 3 3 1 3 2 3 2 3 3 2 3 3 6 3 3 2 3 3 3 3 2 2 3 2 2 3 3 3 3
## [30601] 3 2 3 2 3 2 3 3 3 3 2 2 3 3 3 3 2 1 3 2 2 2 2 2 6 2 3 2 2 2 2 3 2 2
## [30635] 2 2 2 2 3 2 6 6 2 6 3 3 2 3 6 3 3 3 3 6 2 3 3 2 2 3 1 3 3 2 2 6 2 2
## [30669] 2 3 2 3 2 3 3 3 2 3 3 3 3 2 3 3 2 2 3 2 6 3 3 2 2 3 6 2 2 2 2 3 2 2
## [30703] 2 3 2 2 3 2 3 2 3 6 2 3 3 2 3 3 3 3 3 6 2 2 1 2 3 3 2 6 2 6 6 3 2 2
## [30737] 6 2 1 2 3 6 2 2 3 2 2 3 2 2 6 3 1 6 6 3 2 3 2 3 2 2 2 3 6 3 3 5 2 2
## [30771] 3 3 3 6 2 3 3 2 6 2 3 6 2 3 2 2 2 2 2 3 3 2 6 3 2 3 6 6 2 3 2 2 2 2
## [30805] 3 2 3 2 5 6 3 3 6 2 6 5 3 2 4 3 1 3 2 3 2 3 6 3 5 3 6 6 6 3 2 3 2 1
## [30839] 2 1 2 3 2 3 3 3 3 1 1 2 1 3 6 6 2 2 2 2 2 2 2 6 2 6 2 6 2 2 2 3 2 2
## [30873] 3 2 2 2 2 2 3 3 2 3 1 2 2 2 3 6 2 3 2 2 6 2 2 3 5 3 2 2 2 3 3 2 2 5
## [30907] 3 6 3 2 3 2 2 2 2 6 2 2 2 2 1 2 6 4 2 6 2 6 6 3 3 3 6 5 5 2 3 3 2 3
## [30941] 1 3 2 2 3 1 2 2 3 2 6 2 2 3 6 1 2 2 2 2 2 3 2 3 3 3 3 6 2 6 2 6 3 3
## [30975] 2 2 3 3 3 3 2 2 2 2 2 2 3 2 3 2 2 2 2 1 3 3 2 3 3 2 2 3 2 3 3 6 2 2
## [31009] 3 3 2 3 2 2 3 3 3 3 2 3 2 3 3 3 5 3 6 3 3 3 2 5 5 3 6 3 5 3 6 6 6 6
## [31043] 5 6 5 2 2 5 2 3 6 5 3 6 5 2 5 6 2 6 5 6 5 5 3 3 4 5 5 5 6 5 5 5 5 5
## [31077] 5 2 6 3 5 5 6 6 6 3 5 2 3 3 6 5 2 6 2 6 6 6 6 2 3 5 2 3 5 6 3 5 2 3
## [31111] 3 6 2 5 3 3 2 2 5 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 2 1 4 5 3 5 4 4 4 2
## [31145] 4 5 3 5 6 4 5 4 4 4 2 2 4 4 4 4 5 2 5 3 2 5 4 5 4 4 5 4 4 4 4 4 4 5
## [31179] 4 3 4 6 4 4 4 5 5 4 2 1 3 3 3 2 3 3 5 4 6 4 6 4 3 2 4 4 3 4 4 4 4 2
## [31213] 4 4 5 4 4 4 6 2 6 2 2 2 3 6 6 6 6 6 3 1 2 3 2 3 6 3 3 6 6 1 2 4 4 2
## [31247] 3 3 2 3 2 3 2 2 4 3 2 3 4 3 3 1 2 6 6 3 3 3 2 6 2 5 6 2 4 6 6 4 6 4
## [31281] 3 5 3 2 5 1 2 2 6 6 2 2 6 5 6 5 3 4 2 5 3 2 2 6 3 6 5 4 2 5 2 3 5 6
## [31315] 2 3 6 6 3 3 3 3 2 3 3 3 3 3 2 2 3 2 3 3 2 6 3 3 2 3 3 3 3 3 5 2 3 2
## [31349] 3 2 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 1 2 2 3 2 3 6 2 3 2 2 2 2 3 6 1 6
## [31383] 2 3 2 2 2 2 6 3 3 3 3 3 3 3 3 2 2 5 6 3 2 2 2 3 2 3 3 2 3 2 2 1 6 3
## [31417] 3 3 6 5 5 5 4 5 6 5 4 3 4 5 3 5 2 5 5 5 2 5 5 5 4 2 5 5 5 3 5 5 2 3
## [31451] 2 4 1 5 6 5 2 3 4 5 4 5 4 3 3 5 3 3 6 4 5 6 5 5 6 6 2 2 6 5 3 2 6 6
## [31485] 6 5 6 5 3 3 5 5 3 6 4 5 4 1 4 5 6 3 4 5 6 5 5 3 4 5 3 3 5 6 5 5 3 2
## [31519] 3 1 6 3 3 3 1 3 6 2 2 2 2 6 3 3 5 3 3 3 1 2 3 3 2 3 2 1 3 2 2 6 3 2
## [31553] 3 2 2 3 3 2 3 3 6 3 1 3 2 6 3 5 3 3 2 6 6 3 3 3 2 2 1 3 2 1 2 6 3 2
## [31587] 2 2 3 1 3 2 3 2 2 3 2 3 3 3 5 3 5 2 2 3 2 2 2 2 3 3 3 3 3 6 5 4 6 5
## [31621] 5 4 4 4 4 4 5 4 5 5 5 5 6 3 4 6 4 4 4 2 4 5 4 4 4 2 4 4 5 4 5 2 5 5
## [31655] 2 4 6 4 4 2 4 4 5 2 5 2 5 4 6 5 4 5 1 5 5 4 5 4 2 4 4 5 4 5 2 4 4 6
## [31689] 5 3 4 2 6 3 4 3 4 5 4 5 4 2 5 5 2 6 5 5 6 5 3 3 1 6 1 3 1 2 6 3 2 3
## [31723] 2 3 3 2 3 3 1 6 3 6 6 2 6 3 3 3 2 6 6 3 1 1 3 3 1 3 3 5 4 6 1 3 3 2
## [31757] 2 3 3 3 5 1 3 1 3 3 3 3 6 3 1 3 2 3 3 5 5 5 3 3 2 3 1 6 5 2 3 2 6 3
## [31791] 6 6 6 6 2 4 2 3 2 5 3 5 2 2 6 6 5 5 3 3 2 6 3 2 5 6 6 5 3 3 6 5 2 4
## [31825] 2 5 5 5 2 5 5 2 6 6 5 4 3 2 5 2 2 2 3 5 2 2 5 5 6 2 2 6 3 5 5 6 5 2
## [31859] 3 3 5 5 4 2 3 5 5 5 4 4 6 4 2 4 2 4 3 2 4 5 4 5 5 5 3 5 5 4 5 2 4 5
## [31893] 3 5 3 4 4 5 4 4 3 2 4 3 4 5 4 4 3 4 5 4 5 5 5 5 5 3 2 5 5 3 2 4 2 5
## [31927] 6 3 1 4 4 5 3 3 6 6 4 4 2 1 5 5 3 3 5 3 6 3 3 5 5 4 3 2 2 5 5 2 2 2
## [31961] 4 2 2 2 5 4 2 3 3 3 2 3 2 3 6 3 3 3 5 2 2 2 1 1 2 6 6 2 2 6 3 3 1 2
## [31995] 2 6 2 3 3 2 2 2 2 2 2 3 5 3 2 2 3 3 2 3 2 6 3 3 3 3 2 3 2 3 3 3 3 6
## [32029] 2 3 3 2 2 2 2 2 6 3 6 2 2 2 2 3 2 2 2 3 3 5 6 3 2 3 3 3 6 3 2 6 1 3
## [32063] 3 1 1 2 3 3 3 3 1 1 1 2 3 3 3 3 1 1 3 3 3 1 3 3 3 3 3 1 3 3 3 3 2 2
## [32097] 3 2 3 2 3 3 3 1 1 3 3 3 3 3 3 3 1 3 3 2 3 1 3 1 3 3 1 2 1 1 3 1 1 3
## [32131] 3 1 6 3 1 2 1 1 2 2 3 3 2 3 3 3 1 2 1 3 3 3 3 3 1 3 3 3 3 3 3 3 1 1
## [32165] 3 3 3 3 3 3 1 3 1 3 3 3 3 4 3 3 3 3 3 1 2 2 3 1 3 6 3 1 3 2 3 2 3 3
## [32199] 1 3 6 3 3 3 1 2 3 3 1 3 1 1 1 1 3 1 3 3 3 1 3 3 1 3 3 3 2 6 3 6 6 6
## [32233] 2 2 2 3 2 6 6 3 3 6 2 2 3 2 2 6 6 2 3 2 2 3 3 2 2 2 2 2 3 3 3 2 3 2
## [32267] 5 2 2 2 3 2 2 3 6 3 3 6 3 6 6 2 2 3 2 2 3 2 2 3 2 3 3 3 3 2 2 1 2 2
## [32301] 2 3 1 2 3 2 2 6 3 2 2 2 3 2 3 3 3 3 2 5 2 3 2 3 2 2 5 5 5 6 6 5 5 3
## [32335] 3 6 3 3 3 5 3 3 5 3 1 4 3 2 3 6 3 5 3 5 3 2 5 1 3 4 3 6 3 6 3 2 6 5
## [32369] 3 2 6 3 3 3 6 3 5 3 2 6 5 5 5 5 1 3 5 3 2 2 2 3 6 2 6 2 6 2 6 6 2 2
## [32403] 5 6 3 6 6 5 5 2 1 3 3 2 3 3 1 1 1 3 3 1 3 3 3 2 3 3 3 1 3 2 3 3 1 3
## [32437] 3 3 3 3 3 3 3 3 3 3 1 2 2 3 2 3 3 3 3 2 3 3 1 3 3 2 3 1 2 1 1 1 2 3
## [32471] 3 3 3 1 3 1 1 3 3 3 3 3 3 3 3 1 1 3 3 3 1 1 3 3 3 6 2 3 3 3 3 3 3 3
## [32505] 6 1 2 2 1 6 1 2 1 3 1 3 2 1 2 6 3 1 2 2 1 3 3 6 2 6 3 3 6 5 1 3 3 3
## [32539] 3 3 3 1 2 1 2 3 1 3 3 3 3 2 5 3 6 3 3 1 3 3 2 3 2 3 2 6 1 1 3 3 2 3
## [32573] 3 6 2 6 3 3 3 3 1 6 3 2 4 4 4 4 4 5 5 5 4 4 5 4 5 4 6 4 4 5 5 4 4 4
## [32607] 4 4 4 5 4 4 4 4 4 4 4 3 4 6 4 4 5 5 4 4 4 4 2 4 4 4 4 4 3 2 4 5 4 4
## [32641] 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4
## [32675] 3 1 1 2 3 3 1 3 1 1 3 1 6 1 6 2 2 3 1 3 1 3 3 3 3 2 3 3 3 2 1 1 1 2
## [32709] 6 2 3 3 3 3 2 3 2 1 3 3 2 6 3 2 3 3 3 3 3 3 2 6 1 2 3 1 3 3 3 3 3 1
## [32743] 1 3 3 1 3 2 3 3 1 1 3 3 3 2 3 6 2 6 3 2 3 5 2 2 6 2 2 3 3 6 3 2 2 2
## [32777] 2 2 6 3 4 6 3 6 3 2 2 2 3 3 3 2 5 2 2 2 2 5 2 2 6 6 2 6 6 3 2 5 2 2
## [32811] 5 2 3 3 4 2 5 1 3 5 3 5 6 3 6 2 3 3 3 5 2 5 5
##
## Within cluster sum of squares by cluster:
## [1] 1.898109e+12 1.241795e+12 1.264654e+12 1.177844e+12 1.258249e+12
## [6] 1.221167e+12
## (between_SS / total_SS = 93.1 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss"
## [5] "tot.withinss" "betweenss" "size" "iter"
## [9] "ifault"The kmeans() function outputs the results of the clustering. The cluster in which each observation was allocated has a mean and a percentage (93.1%) that represents the compactness of the clustering, and how similar are the members within the same group. If all the observations within a group were in the same exact point in the n-dimensional space, then we would achieve 100% of compactness.
Plotting the clusters
library(fpc)
plotcluster(input,kmeans_fit$cluster,xlab="Number of groups") 
We want to view the result so We can use fviz_cluster. It is function can provide a nice graph of the clusters. Usually, we have more than two dimensions (variables) fviz_cluster will perform principal component analysis (PCA) and plot the data points according to the first two principal components that explain the majority of the variance.
library(factoextra)
fviz_cluster(kmeans_fit, data = input)
Checking the prediction table
table(kmeans_fit$cluster, features2$playlist_genre)##
## edm latin pop r&b rap rock
## 1 906 549 450 479 1263 305
## 2 1422 1762 1991 1587 1454 1497
## 3 2345 1852 2080 1265 1495 972
## 4 284 49 50 113 44 230
## 5 457 244 236 585 441 604
## 6 629 699 700 1402 1049 1343As we can see, the data belonging to each class has been misclassified in other classes and there’s no perfect clustering.
Within sum of squares
Let’s plot a chart showing the “within sum of squares” by the number of groups (K value). The within sum of squares is a metric that shows the dissimilarity within members of a group. The greater is the sum, the greater is the dissimilarity.
Identifying optimal number of clusters in K-means clustering
Elbow method is widely used to determine optimal number of clusters in K-means clustering. This method takes into consideration the total within-cluster sum of square (WSS) as a function of the number of clusters K. Optimal value of K is such that adding another cluster doesn’t improve much better the total WSS.
wssplot <- function(input, nc=15, seed=13383610){
wss <- (nrow(input)-1)*sum(apply(input,2,var))
for (i in 2:nc){
set.seed(seed)
wss[i] <- sum(kmeans(input, centers=i)$withinss)}
plot(1:nc, wss, type="b", xlab="Number of groups",
ylab="Sum of squares within a group")}
wssplot(input, nc = 20)## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 1641650)
going from K=6 to further ahead there’s a decrease in the sum of squares, which means our dissimilarity will decrease and compactness will increase if we take K greather than 8. BUt our elbow method suggests a cluster size of 3. So, let’s choose K = 3 and run the K-means again.
kmeans_fit2<-kmeans(input, centers = 3, nstart = 20)
kmeans_fit2## K-means clustering with 3 clusters of sizes 15663, 3336, 13834
##
## Cluster means:
## track_popularity danceability energy key loudness mode
## 1 45.27594 0.6670591 0.7013788 5.357977 -6.393692 0.5545553
## 2 33.19155 0.6322800 0.6863853 5.526978 -7.925305 0.5674460
## 3 41.54735 0.6464683 0.6984450 5.356368 -6.797608 0.5779240
## speechiness acousticness instrumentalness liveness valence tempo
## 1 0.11304822 0.1848123 0.08493090 0.1909606 0.5084789 121.3369
## 2 0.09665893 0.1498850 0.18194499 0.1964379 0.4756401 120.9760
## 3 0.10280739 0.1707388 0.06110036 0.1877781 0.5213393 120.3422
## duration_ms track_year
## 1 180822.8 2014.736
## 2 352678.2 2004.230
## 3 246127.1 2008.728
##
## Clustering vector:
## [1] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [35] 3 1 1 1 3 3 1 3 1 1 1 3 1 1 1 1 1 3 1 1 1 3 1 1 3 3 3 1 1 1 1 3 3 3
## [69] 1 3 3 1 1 1 1 3 3 1 1 1 3 3 1 3 1 1 1 1 3 1 1 3 1 1 1 1 1 3 1 3 1 1
## [103] 3 1 1 1 1 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 3 3 3
## [137] 3 3 1 3 1 1 3 1 3 3 1 3 3 1 3 3 3 1 1 3 3 1 3 3 3 1 1 3 3 3 1 1 1 3
## [171] 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1
## [205] 3 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1
## [239] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 3
## [273] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1
## [307] 1 1 1 1 1 1 3 1 3 3 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1
## [341] 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 3 3 1 1 1 3 3 3 1 1 1 1 1 1 1 3 3
## [375] 1 1 1 1 3 1 3 3 3 3 1 1 3 1 1 1 1 3 3 1 3 3 3 1 3 1 3 3 1 3 3 1 1 3
## [409] 3 1 3 1 1 1 1 3 1 1 1 2 1 3 3 3 1 3 3 3 3 3 1 1 1 3 3 3 1 1 1 1 1 1
## [443] 1 1 3 1 1 3 1 1 1 1 1 3 3 1 3 3 1 1 1 3 1 3 1 1 3 1 3 1 1 1 1 1 1 1
## [477] 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1 3 1 1 1 1 3
## [511] 1 1 1 1 3 3 1 3 3 1 3 3 1 1 1 3 1 1 1 1 1 3 1 1 1 3 3 1 1 3 1 1 1 1
## [545] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 1
## [579] 3 3 1 1 3 1 1 1 3 3 3 2 1 1 3 1 1 1 2 1 1 3 3 3 1 3 3 3 1 1 3 1 1 1
## [613] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [647] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1
## [681] 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 2 1 2 3 3 3 1 3 1 1 1 1 3 3
## [715] 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 3 1 3 3
## [749] 3 3 3 3 1 3 3 3 3 3 1 2 3 3 1 3 3 3 1 1 1 3 3 1 3 3 3 1 3 1 3 3 3 3
## [783] 3 1 1 3 3 1 1 1 3 3 3 3 1 3 3 2 3 3 1 1 3 1 3 3 3 3 1 3 3 3 1 1 1 1
## [817] 3 1 1 3 3 1 1 3 3 3 3 1 1 3 3 1 2 3 1 3 3 2 3 2 3 3 2 3 3 3 3 3 1 3
## [851] 1 3 1 1 1 1 3 1 1 3 3 3 1 3 3 3 3 1 3 1 1 1 1 3 1 3 1 3 3 1 1 3 3 1
## [885] 1 1 3 1 3 1 1 1 1 3 1 3 3 3 1 1 2 1 3 1 1 1 1 1 1 1 3 3 3 1 1 1 1 3
## [919] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 1 1 3 1 1 1 1 1
## [953] 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 3 3 2 1 1 1 2 1
## [987] 3 3 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 2 1 3 1 3 3 1 1 3 1 1 3 1 1 3 3
## [1021] 1 1 1 3 1 3 1 3 1 3 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 1 1
## [1055] 1 3 3 3 1 1 1 1 3 1 1 3 1 1 3 3 3 3 3 1 3 2 3 1 3 1 1 2 1 3 1 3 1 1
## [1089] 3 2 2 1 3 2 3 2 3 3 3 3 1 3 3 3 2 1 1 3 3 2 1 3 1 1 1 2 1 3 3 3 3 1
## [1123] 1 1 3 3 3 3 3 2 2 2 1 3 3 2 1 3 3 3 3 3 1 3 3 1 3 3 3 2 3 1 1 1 3 3
## [1157] 2 1 1 2 2 1 3 3 1 1 3 1 3 3 1 3 3 3 3 1 1 1 1 1 1 1 3 3 1 1 3 1 1 1
## [1191] 1 3 3 3 1 3 3 1 3 1 1 3 3 3 1 1 1 1 3 3 3 3 3 3 1 1 3 3 3 1 3 3 1 2
## [1225] 3 1 3 3 1 3 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 3 1 1 3 3 1 3 1 1 3 1 1 1
## [1259] 3 1 1 1 3 1 3 3 1 1 3 3 3 1 3 1 3 3 3 2 1 3 1 3 1 3 1 1 3 1 1 1 1 3
## [1293] 3 1 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1
## [1327] 3 1 3 1 3 1 1 3 1 1 3 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1
## [1361] 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 3 1 3 1 1 3 1 3 1 3 3 1 1
## [1395] 1 3 1 1 1 1 3 1 1 1 3 1 3 1 3 3 1 1 1 1 3 1 3 1 3 3 1 1 3 1 1 3 1 1
## [1429] 1 1 3 3 1 1 1 1 3 3 1 3 1 3 1 1 1 1 3 1 3 3 1 1 1 3 3 1 1 3 3 1 1 1
## [1463] 1 1 1 1 1 3 3 1 1 3 3 1 1 1 1 3 1 1 1 1 1 1 3 1 1 3 1 1 3 1 3 1 1 1
## [1497] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 3 1 3
## [1531] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 1 1 1 1 1 1 3 3
## [1565] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 3 3 3 3 3 1 1 1 1 3 1
## [1599] 1 3 1 1 3 3 3 1 1 1 3 1 1 1 2 1 3 3 3 1 3 1 1 1 3 1 1 1 1 1 3 3 1 1
## [1633] 3 3 1 3 3 1 2 2 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 3 1 3 1 3 1 3 3
## [1667] 1 3 1 3 3 1 1 3 3 1 3 3 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1
## [1701] 1 3 1 1 3 3 1 1 1 1 1 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 1 3 1 1 1 3 3 1
## [1735] 3 3 3 1 3 1 3 1 3 1 1 1 3 3 3 1 1 3 3 3 3 1 3 1 3 1 1 1 3 3 3 3 3 3
## [1769] 3 3 3 3 3 3 1 3 3 1 3 1 3 1 1 1 1 1 1 1 1 3 3 3 1 3 1 1 1 1 1 1 1 1
## [1803] 1 3 1 1 1 1 1 3 1 3 1 3 3 3 3 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3
## [1837] 3 3 3 1 1 1 1 1 1 3 1 1 2 1 1 1 1 3 3 1 1 1 3 3 1 1 1 3 1 3 1 1 1 1
## [1871] 2 3 1 3 1 3 1 1 1 3 3 3 1 1 1 3 3 1 1 3 1 1 3 3 1 1 1 1 3 1 1 3 1 3
## [1905] 3 3 1 2 2 3 3 2 3 3 3 3 1 1 1 1 1 1 1 3 3 3 3 1 3 2 3 1 1 2 3 3 3 3
## [1939] 3 1 3 1 1 3 1 3 1 3 2 3 1 3 3 1 2 1 1 3 3 1 3 3 3 3 2 3 3 3 3 1 1 3
## [1973] 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 3 1 1 3 1 1 3 1 3 1 1 1 1 3 1 1 1
## [2007] 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1
## [2041] 3 1 1 1 1 1 3 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 3 3 1 3 3 3
## [2075] 1 1 3 1 1 1 3 1 3 1 1 3 3 3 1 3 1 3 3 3 1 3 3 3 1 1 1 1 1 1 3 1 3 3
## [2109] 3 1 3 3 3 1 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 1 3 1 3 3 3 3 1 1 1 1 2 1
## [2143] 3 1 1 3 3 3 3 3 3 1 3 1 1 1 1 3 3 3 1 1 1 1 3 1 1 3 1 1 3 1 3 3 3 3
## [2177] 3 3 1 3 3 1 3 1 3 1 1 3 1 1 3 3 1 3 1 3 1 2 3 1 3 3 1 1 1 1 1 1 1 1
## [2211] 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 3 1 3 3 1 3 1 3 3 3 3 3 1 3 1 1 1 1
## [2245] 1 1 1 3 1 3 1 3 1 1 1 3 1 1 1 3 1 3 2 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1
## [2279] 1 1 1 1 1 1 1 3 1 3 1 1 3 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 1 1 3 1
## [2313] 1 1 3 3 3 3 1 3 3 1 3 3 1 3 3 3 3 1 3 3 1 1 3 3 3 1 3 3 3 3 1 3 1 1
## [2347] 3 1 1 3 1 3 3 3 3 3 3 3 1 3 1 3 3 3 3 3 1 3 3 3 3 3 3 1 1 1 1 3 1 1
## [2381] 1 3 3 1 1 3 3 3 3 3 2 3 1 3 3 3 1 3 1 3 3 1 3 1 3 1 1 3 3 1 1 3 3 3
## [2415] 3 3 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 3 3 3 3 3 3 2 2 1 3 1 1 1 1 1 3 1
## [2449] 1 3 3 1 3 1 3 1 3 3 1 1 1 3 2 3 1 3 3 1 1 3 1 1 3 1 1 1 2 1 3 3 1 1
## [2483] 3 1 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 1 3 3 1 1 1 1 3 3 1 3 3 1 1 1
## [2517] 3 1 3 3 1 1 3 3 1 3 1 3 1 3 3 3 1 1 1 1 3 3 1 1 1 3 1 3 3 1 3 3 3 3
## [2551] 1 3 1 3 3 3 1 3 3 1 3 1 3 1 3 3 1 1 1 3 3 3 3 1 3 1 3 3 1 1 1 1 3 1
## [2585] 3 1 1 1 1 3 1 1 1 1 1 3 1 3 3 1 1 1 1 1 1 1 3 3 1 1 3 1 1 3 3 1 1 3
## [2619] 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 3 1 1 1 3 1 3 3 3 1 1
## [2653] 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 3 1 1 3 1 3 1 1 1 3 3 2 3 2 1 2 1 3
## [2687] 3 3 3 1 1 1 1 3 1 1 3 3 1 1 3 1 3 3 1 3 1 1 3 1 3 3 3 1 3 1 1 1 1 1
## [2721] 3 3 3 3 3 1 1 1 1 3 3 1 3 1 1 3 3 3 1 3 1 1 3 1 1 3 3 1 1 1 3 3 1 1
## [2755] 3 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 3 2 3 2 3 3 3 3 3 3 3 3 1 3 3 3 3 1
## [2789] 3 3 1 1 3 1 2 3 3 3 1 3 3 3 3 1 3 3 3 1 3 3 3 3 3 3 3 3 1 1 1 3 1 1
## [2823] 1 1 1 3 1 3 1 1 3 3 1 3 1 1 3 1 3 3 1 1 1 3 1 1 1 3 3 3 1 1 3 1 1 1
## [2857] 3 1 1 1 1 3 1 3 1 3 3 3 3 3 1 3 3 1 1 1 1 1 1 1 3 3 1 1 3 1 1 3 3 3
## [2891] 1 3 3 1 3 3 1 3 3 1 1 3 3 1 1 3 1 3 1 3 1 1 1 3 1 3 3 1 1 1 1 3 3 1
## [2925] 1 1 1 3 1 1 1 3 1 1 3 3 2 3 1 3 3 1 3 2 2 3 1 2 1 3 3 1 3 1 1 2 3 1
## [2959] 1 1 1 3 3 3 3 1 3 1 3 2 1 3 3 3 1 1 1 3 3 1 1 3 1 3 1 1 3 3 1 3 3 1
## [2993] 3 1 1 1 3 1 3 1 1 3 1 1 3 1 1 3 3 1 3 3 3 1 3 3 3 3 1 1 3 3 1 3 3 3
## [3027] 2 3 1 1 1 2 2 2 3 2 3 1 1 1 3 1 1 3 1 2 3 3 3 3 3 1 3 2 3 2 3 3 3 3
## [3061] 3 3 3 3 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1 3 3 1 1 1 1 1 3 1 1 1 3 1 1 1
## [3095] 1 3 3 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 3 3 1 3 3 1 1 1 1 3 3 1 1 1 3 3
## [3129] 2 1 1 1 1 1 1 2 1 1 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 3 3 1 2 3 3
## [3163] 2 2 3 2 1 1 3 2 3 3 1 2 3 3 3 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 2 3 3 2
## [3197] 1 3 2 3 3 2 3 3 3 2 3 1 3 2 2 3 1 3 3 3 2 3 1 3 3 3 3 2 1 2 2 2 2 3
## [3231] 1 3 3 2 1 2 3 2 2 3 1 3 3 1 3 1 2 3 3 3 3 1 3 2 2 3 1 1 3 3 3 1 3 3
## [3265] 2 1 3 2 3 3 3 1 1 1 3 1 1 3 1 1 3 3 2 3 1 3 3 2 2 1 2 1 3 1 1 3 3 3
## [3299] 1 1 3 1 1 3 3 1 2 3 3 3 2 3 3 3 3 1 3 1 1 3 3 3 1 1 3 2 1 3 3 3 1 3
## [3333] 3 3 3 2 1 3 3 3 3 2 3 1 1 3 3 3 1 3 3 3 3 3 3 3 2 1 3 3 1 3 3 3 3 3
## [3367] 1 2 1 3 3 3 3 3 3 2 3 3 1 3 1 1 3 2 2 3 2 2 3 2 2 3 3 3 2 2 3 3 3 1
## [3401] 3 3 2 3 3 3 2 1 2 3 2 2 3 2 2 3 1 3 2 3 3 1 1 1 2 3 2 3 3 1 3 3 3 3
## [3435] 3 2 2 3 1 2 3 3 3 1 3 2 3 1 3 3 3 1 3 3 1 3 3 3 3 2 1 3 3 2 3 3 3 2
## [3469] 2 2 3 2 3 2 3 3 3 2 3 3 3 3 2 3 3 3 3 3 2 1 3 1 2 3 3 2 2 2 2 2 2 3
## [3503] 2 3 3 3 3 3 3 2 3 3 2 2 3 3 2 3 3 2 1 1 1 3 3 3 3 2 3 2 2 3 2 3 3 1
## [3537] 2 1 3 2 3 2 3 1 2 3 2 3 3 2 2 2 3 1 1 3 2 2 1 3 3 2 3 3 2 2 2 2 3 2
## [3571] 3 3 3 3 2 3 1 3 3 2 1 3 2 1 3 3 3 3 1 3 3 3 2 3 3 3 3 1 3 1 3 1 3 3
## [3605] 3 3 1 3 3 3 3 1 1 3 3 1 2 3 3 3 3 3 3 3 1 1 3 3 3 1 2 2 2 3 1 3 2 3
## [3639] 3 1 1 3 1 3 3 3 3 3 2 2 1 3 1 2 2 3 1 3 3 3 2 3 2 3 3 3 3 2 1 3 3 3
## [3673] 3 3 2 3 3 1 3 3 3 3 3 3 3 2 1 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 2 3 2 3
## [3707] 3 3 1 3 1 3 1 3 1 3 3 1 1 2 2 2 3 3 2 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1
## [3741] 1 1 1 1 1 3 1 3 3 2 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3 1 1 1 1 1 1
## [3775] 3 1 3 1 3 1 3 3 3 3 3 3 3 1 1 1 3 3 1 3 1 1 3 1 3 3 3 3 3 3 3 3 1 3
## [3809] 1 3 1 3 3 1 1 3 1 1 3 3 3 1 3 3 1 1 1 3 3 3 3 3 3 1 3 3 1 1 1 1 3 1
## [3843] 1 3 3 1 1 1 3 3 1 3 3 1 3 3 3 1 3 1 1 1 1 1 3 1 1 1 3 1 1 3 3 3 3 1
## [3877] 3 3 3 3 1 1 1 1 3 3 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 3 3 1 1 1 3 1 1 3
## [3911] 3 1 3 3 3 1 3 1 3 3 3 2 3 1 1 2 3 3 1 3 1 3 3 3 1 1 2 3 1 1 3 1 3 3
## [3945] 1 3 1 2 3 1 1 1 1 1 1 1 1 3 1 3 3 1 3 3 3 3 1 1 3 1 1 3 3 1 3 3 3 1
## [3979] 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 3 1 1 1 1 3 3 1 1 1 1 1 1 3 1 3 1 1
## [4013] 1 1 1 3 1 2 2 1 1 3 1 1 1 3 1 1 1 2 3 3 1 3 1 1 1 3 3 3 1 3 1 1 1 1
## [4047] 3 1 1 1 3 1 3 3 1 3 1 3 1 3 1 3 3 1 1 1 3 3 3 1 3 1 3 3 3 3 3 3 3 1
## [4081] 1 3 1 1 1 3 3 1 3 3 3 1 1 3 1 3 3 3 1 1 3 1 1 3 3 3 1 3 1 3 3 2 1 1
## [4115] 1 1 1 3 1 1 3 1 1 1 1 1 3 1 1 1 1 3 3 1 3 2 3 1 1 1 1 1 3 1 3 3 3 1
## [4149] 1 2 3 1 3 3 1 1 3 3 3 3 2 1 1 1 2 1 1 1 3 3 3 3 1 3 3 1 2 1 3 3 1 1
## [4183] 1 3 1 1 3 1 2 1 3 3 1 1 2 3 3 2 3 1 3 1 1 3 3 1 3 3 1 3 3 3 3 3 1 3
## [4217] 1 1 1 3 3 3 3 1 1 1 1 1 1 1 1 1 3 3 1 2 3 1 3 1 3 3 1 3 1 3 3 1 3 1
## [4251] 1 1 1 1 3 2 1 3 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 3 3 1 1 1 1 3 1 1 3
## [4285] 1 3 1 1 1 2 1 3 1 1 3 1 3 1 1 1 3 1 1 1 3 1 3 3 3 3 1 1 1 3 3 3 1 1
## [4319] 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 1 2 3 1 1 1 1 3 1 1 3 1 1 1 1
## [4353] 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 3 1 1 1 3 3
## [4387] 1 3 3 1 3 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 3 3
## [4421] 3 1 1 2 1 1 1 3 1 3 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 3 3 3 1
## [4455] 3 3 1 1 3 1 1 1 3 1 1 3 1 1 3 1 3 3 1 1 3 3 1 1 3 1 3 1 1 1 3 3 3 1
## [4489] 1 3 1 1 1 1 1 1 3 1 3 3 1 1 1 1 3 3 1 1 1 3 3 1 3 1 1 3 3 3 3 1 1 1
## [4523] 1 3 1 1 3 3 1 1 1 1 3 3 3 3 3 1 1 1 3 1 3 1 1 1 1 1 3 1 1 1 1 1 3 3
## [4557] 1 3 1 3 1 1 1 1 1 3 1 3 3 1 1 1 3 1 1 1 1 3 1 3 1 3 1 1 3 1 1 1 1 3
## [4591] 1 3 3 3 3 3 1 3 1 1 3 1 3 3 1 3 3 3 1 3 1 1 3 1 3 1 1 3 3 1 1 3 1 1
## [4625] 1 1 3 1 1 1 1 3 1 1 1 3 1 3 3 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 1 3 1 1
## [4659] 3 1 1 3 1 3 3 1 1 1 1 1 3 1 3 3 1 1 3 1 1 1 3 3 3 1 1 3 1 3 3 3 1 3
## [4693] 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 3 3 1 1 3 1 1 1 1 3 3 1 3 1 3 3 3 3 1
## [4727] 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 3 1 1 3 1 1 3 1 1 1 3 1 1 1
## [4761] 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 3 1
## [4795] 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 1 3 1 1 1 1 2 1 2 2 2 1 3 1 3
## [4829] 3 1 1 3 1 3 1 1 1 3 1 3 3 3 3 3 3 1 1 1 1 3 1 1 3 3 3 1 3 3 3 3 3 3
## [4863] 3 3 1 2 3 1 1 1 3 1 1 3 3 3 3 3 2 3 1 1 1 3 1 3 3 3 1 1 3 1 3 1 3 3
## [4897] 3 1 1 3 3 1 3 1 3 2 1 3 1 3 3 3 1 3 1 1 3 3 3 3 3 3 3 3 1 1 1 3 3 1
## [4931] 3 1 3 3 3 1 3 1 3 3 1 1 3 3 3 3 1 3 3 3 2 1 1 3 1 3 3 3 3 1 2 2 3 3
## [4965] 3 1 3 3 3 2 1 3 3 3 3 3 3 3 3 1 1 3 1 1 3 3 1 3 3 1 3 1 3 3 3 1 3 3
## [4999] 1 1 2 1 1 1 1 3 3 3 3 3 3 1 1 3 1 3 3 1 1 3 1 1 3 3 3 1 3 2 3 3 2 2
## [5033] 1 1 3 3 3 3 1 3 1 1 1 2 2 1 1 3 3 1 1 1 1 1 3 3 3 1 3 1 3 3 1 1 1 1
## [5067] 1 1 1 3 2 3 1 3 3 3 1 1 1 3 3 3 1 1 1 1 3 1 1 3 3 3 1 3 1 1 3 3 2 1
## [5101] 1 1 1 3 1 1 1 3 3 3 1 1 1 3 3 3 3 1 1 3 3 2 3 1 1 3 2 3 1 1 1 1 3 3
## [5135] 1 3 1 1 1 3 3 2 1 3 3 2 1 1 1 3 3 3 3 3 3 3 3 1 1 3 1 3 3 3 1 3 3 3
## [5169] 3 3 3 3 3 3 3 3 3 1 3 3 3 3 1 1 3 1 3 1 1 1 1 1 1 3 3 3 2 1 2 1 3 3
## [5203] 3 3 3 3 3 3 3 3 3 3 3 1 3 2 3 1 3 1 3 1 3 3 2 1 3 3 1 2 1 3 3 3 1 3
## [5237] 1 3 1 1 1 3 3 3 3 1 3 3 1 3 3 1 3 3 3 2 2 3 1 3 1 3 1 1 1 3 3 1 3 3
## [5271] 3 3 1 3 1 3 3 1 1 1 1 1 1 1 3 3 3 2 3 1 3 2 2 3 3 3 3 2 3 3 2 3 3 1
## [5305] 1 3 3 3 1 3 1 3 3 1 3 1 2 1 3 3 3 3 3 3 1 1 3 3 3 3 3 1 1 3 3 3 3 3
## [5339] 1 3 1 3 1 1 3 3 1 3 3 3 3 3 1 3 3 2 1 3 1 3 3 1 1 3 2 3 1 3 3 2 1 3
## [5373] 1 2 2 1 3 1 1 3 1 1 3 3 3 1 3 1 1 3 1 2 1 3 1 1 3 3 1 1 1 1 3 3 3 3
## [5407] 3 3 3 3 3 3 1 3 3 3 3 3 3 3 1 1 3 3 3 1 1 1 1 3 3 1 3 1 3 3 3 1 1 1
## [5441] 1 1 3 1 1 1 1 1 1 1 3 1 3 3 1 1 3 3 3 3 1 3 3 1 3 1 1 1 1 1 3 1 1 1
## [5475] 1 3 1 3 3 1 1 1 1 1 1 3 1 1 1 3 3 3 1 3 3 3 3 3 3 1 1 1 1 1 3 1 3 3
## [5509] 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1
## [5543] 3 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [5577] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [5611] 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5645] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5679] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5713] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5747] 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 1 1 1 3 1 1 3 3 1 1 1 1 1 3 3 1
## [5781] 1 1 1 3 1 3 1 1 3 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 1 1 1 3 1
## [5815] 1 3 1 3 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5849] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5883] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [5917] 3 1 3 1 3 1 1 1 1 3 2 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1
## [5951] 1 1 1 1 1 1 1 1 2 1 3 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 3 3 1 1 1 1
## [5985] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 2
## [6019] 3 3 3 3 3 3 3 1 1 2 3 3 2 1 3 3 1 1 3 3 3 3 3 3 2 2 3 3 3 1 3 3 3 3
## [6053] 2 1 3 3 1 1 3 2 3 3 3 3 3 1 3 3 1 3 3 3 1 3 3 3 3 3 3 3 3 1 2 3 1 3
## [6087] 2 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 1 1 3 3 1 3 3 1 1 1
## [6121] 3 3 1 1 1 1 1 1 3 1 1 1 3 1 1 2 1 1 3 3 3 3 1 1 1 3 3 1 3 1 1 3 3 3
## [6155] 1 3 2 3 3 1 3 3 1 3 1 3 3 3 1 1 3 3 2 2 3 1 1 3 3 3 1 1 3 1 1 1 1 1
## [6189] 3 1 1 3 2 3 1 3 3 1 1 1 3 3 1 1 1 3 1 2 1 1 1 1 1 3 1 1 1 3 1 3 2 1
## [6223] 1 1 1 1 3 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1 1 3
## [6257] 1 1 3 3 1 1 1 3 1 1 1 3 1 2 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 3 3 3 1 1
## [6291] 1 1 1 1 1 1 3 1 3 3 3 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 3 1 1 1 3
## [6325] 1 3 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6359] 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6393] 3 1 1 1 1 1 1 3 1 3 3 3 1 1 3 1 1 1 3 3 1 3 3 1 1 3 1 1 2 3 3 3 2 3
## [6427] 1 1 2 3 3 3 3 3 3 1 3 3 1 1 2 2 1 1 3 3 2 1 3 1 1 1 2 1 1 3 3 3 3 1
## [6461] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6495] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6529] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [6563] 3 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 3 1 3 3 1 1 1 3
## [6597] 1 1 1 1 3 1 3 2 3 1 3 3 1 2 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 1
## [6631] 3 1 1 3 3 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6665] 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6699] 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 1 1 1 1 1
## [6733] 1 1 3 3 3 1 3 1 3 1 1 3 1 3 1 1 1 3 1 3 1 3 1 3 1 1 1 3 1 3 3 1 1 1
## [6767] 3 1 3 1 3 1 3 3 3 3 1 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1
## [6801] 1 1 3 1 3 3 1 1 1 3 1 3 1 1 1 1 3 3 1 1 3 3 3 3 1 1 3 1 1 3 3 2 3 3
## [6835] 3 2 2 2 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 2 1 3 3 3 3 3 3 3 3 2 3 3 3 3
## [6869] 3 3 3 3 3 3 3 3 3 3 3 2 3 3 1 3 2 2 1 1 3 3 2 3 3 3 3 3 2 2 3 3 3 1
## [6903] 2 3 1 2 2 2 1 3 1 3 2 3 3 2 1 3 3 3 2 3 2 2 3 1 3 2 3 3 3 3 3 1 1 3
## [6937] 1 3 3 3 3 3 1 3 3 3 2 1 1 3 1 3 1 3 3 3 3 2 3 3 3 1 2 1 3 3 3 1 3 3
## [6971] 1 3 2 3 1 1 3 3 2 3 3 3 3 3 2 3 1 3 3 3 3 3 3 3 1 3 1 1 3 3 2 3 2 3
## [7005] 1 3 3 3 2 3 3 2 2 2 1 3 1 2 2 3 1 2 1 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3
## [7039] 2 2 3 2 3 3 3 2 1 3 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 3 3 3 3 3 3
## [7073] 3 3 1 3 1 3 3 2 1 3 3 3 3 3 3 3 3 2 1 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2
## [7107] 2 3 2 3 3 2 2 3 2 2 3 3 3 3 2 2 2 2 3 3 2 2 1 3 3 2 3 3 1 3 2 3 2 3
## [7141] 2 2 3 3 2 3 3 3 2 3 3 2 3 3 3 3 3 3 2 3 2 2 3 3 2 3 2 3 3 1 1 3 2 3
## [7175] 3 3 3 3 3 2 3 3 2 1 2 1 2 3 3 3 3 3 3 3 2 3 3 3 3 2 1 1 3 3 1 3 3 3
## [7209] 3 3 3 3 3 3 3 3 2 3 3 3 3 1 3 3 3 2 1 1 3 3 1 3 1 3 3 3 3 1 3 3 1 3
## [7243] 3 1 3 3 2 3 3 3 3 2 3 3 3 3 3 2 3 2 2 3 1 3 3 3 3 3 3 1 3 2 2 3 2 2
## [7277] 3 3 3 3 3 2 3 3 1 1 2 1 3 1 1 3 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 1 1
## [7311] 1 1 1 1 1 3 1 1 1 1 3 3 3 1 3 3 1 3 3 1 3 3 1 3 1 3 3 3 1 1 3 3 1 3
## [7345] 1 1 1 3 2 1 3 3 1 2 1 1 3 3 3 1 1 2 1 3 1 2 3 1 1 3 3 1 1 3 3 3 1 3
## [7379] 1 1 1 3 2 3 1 3 3 1 3 1 1 1 3 1 1 1 1 1 2 3 3 1 3 1 1 1 1 3 3 1 3 3
## [7413] 2 1 3 1 1 1 3 3 1 1 3 3 1 1 1 1 1 1 1 3 1 1 1 3 3 1 3 1 3 1 3 1 1 1
## [7447] 1 3 3 3 2 2 2 2 1 1 3 1 1 2 3 3 1 3 2 2 2 3 3 2 2 3 3 1 1 1 1 3 3 3
## [7481] 1 3 3 1 3 1 3 3 1 3 1 3 1 3 1 3 1 1 1 1 2 1 1 1 1 3 3 3 1 1 2 2 3 3
## [7515] 1 1 3 3 3 3 3 3 3 3 1 1 2 3 3 3 1 1 3 3 3 3 3 3 2 1 1 3 2 3 1 1 3 3
## [7549] 3 3 3 1 3 1 3 1 3 1 3 1 3 3 3 1 2 3 3 1 3 3 3 3 1 3 3 3 3 1 3 3 1 3
## [7583] 3 3 3 3 3 1 3 3 1 1 3 3 1 3 3 2 3 3 1 3 2 3 3 3 2 1 2 3 2 3 3 1 1 3
## [7617] 2 3 2 2 2 3 2 3 2 2 3 3 3 3 2 2 3 3 2 3 3 3 2 3 3 2 3 3 3 2 2 2 2 3
## [7651] 3 2 2 2 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 2 2 2 3 3 1 1 3 2 3 2 2 2
## [7685] 3 3 2 3 3 2 2 3 3 3 1 1 1 1 1 1 3 1 3 1 1 1 3 2 1 3 3 3 3 1 3 3 3 3
## [7719] 3 3 3 2 1 3 1 3 1 3 1 1 3 3 1 3 3 1 3 1 3 3 3 3 1 1 1 1 1 3 1 1 3 3
## [7753] 3 3 1 2 3 3 3 3 1 1 3 1 3 3 3 3 3 3 1 1 3 3 3 3 1 1 1 2 1 1 3 3 3 1
## [7787] 3 3 3 3 1 1 1 2 3 3 3 2 2 1 3 2 2 3 3 3 2 3 2 1 3 3 3 3 3 3 3 1 1 2
## [7821] 3 2 2 2 3 3 3 1 2 3 2 3 3 3 3 2 3 3 1 3 3 1 3 2 3 2 2 1 3 3 2 2 3 3
## [7855] 3 3 3 3 2 2 3 1 3 3 3 1 3 3 3 3 3 1 2 1 2 3 3 1 3 3 3 3 2 2 3 2 1 1
## [7889] 3 1 3 3 3 1 3 1 3 3 3 3 3 1 3 3 3 3 2 3 3 3 3 1 2 2 3 3 1 3 1 3 3 3
## [7923] 1 2 2 3 2 3 3 1 3 3 1 1 3 3 3 3 3 2 3 3 3 1 3 2 3 3 1 3 1 1 1 3 3 3
## [7957] 3 2 1 3 3 2 3 3 3 3 3 1 1 2 3 3 3 1 2 2 3 3 1 1 3 3 3 2 3 3 1 3 3 3
## [7991] 3 3 3 1 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 1 3 2 3 3 3 3
## [8025] 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 2 3 3 3 3 2 3
## [8059] 2 2 2 2 3 3 3 2 2 3 2 3 1 3 3 3 3 1 1 3 1 1 3 3 1 1 1 3 3 1 1 3 1 1
## [8093] 3 1 3 3 1 3 3 3 3 1 1 3 3 1 1 1 1 1 3 1 1 3 3 3 2 1 3 3 1 3 1 2 1 1
## [8127] 1 1 3 3 1 3 3 1 3 3 2 1 1 1 1 3 1 2 3 3 3 1 3 3 1 3 3 1 1 3 1 3 3 3
## [8161] 3 3 3 3 1 1 3 1 3 2 2 2 2 3 3 2 3 3 3 2 3 3 3 3 2 3 3 1 2 2 3 2 3 3
## [8195] 3 3 1 3 3 1 3 3 1 3 3 1 3 1 3 1 3 3 3 3 3 1 3 1 3 3 3 1 1 1 1 1 1 2
## [8229] 3 1 3 2 3 3 1 3 1 1 3 2 3 3 1 3 3 2 2 3 2 3 3 3 2 3 3 1 2 3 3 3 2 3
## [8263] 1 2 3 3 2 3 3 3 3 1 2 3 3 1 1 1 1 1 3 1 1 3 1 2 2 3 1 1 1 2 1 2 1 3
## [8297] 3 1 2 1 1 3 1 3 3 3 1 3 1 1 3 1 2 3 2 3 3 1 3 3 3 2 2 3 3 1 3 3 3 3
## [8331] 3 1 2 3 3 3 3 2 2 1 1 2 3 2 3 3 2 1 1 3 3 2 2 3 2 3 3 3 1 1 3 3 1 1
## [8365] 3 3 3 1 1 3 1 2 1 3 1 3 1 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 2 3 1 1
## [8399] 1 3 2 1 3 2 1 1 1 1 1 3 3 3 3 3 1 2 1 1 1 3 1 1 1 1 1 1 3 3 3 3 1 1
## [8433] 1 3 3 1 1 1 1 1 1 3 3 3 1 1 3 3 3 3 3 1 1 3 3 3 3 1 1 1 3 3 3 1 3 1
## [8467] 1 1 3 1 3 3 3 1 1 1 3 2 2 3 3 2 1 1 1 3 3 3 1 3 1 3 3 3 3 3 3 3 2 3
## [8501] 3 3 1 3 3 3 3 3 3 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1
## [8535] 1 3 1 3 3 1 1 3 1 3 1 1 1 3 3 1 3 1 1 1 1 1 1 3 3 3 1 1 3 2 3 1 1 1
## [8569] 3 3 1 1 3 3 1 1 1 1 1 1 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 1 3 3 3
## [8603] 3 1 1 1 3 2 3 2 3 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3
## [8637] 3 3 3 3 1 2 3 3 2 2 3 1 3 3 2 1 2 2 1 1 3 3 3 1 3 3 3 3 2 1 1 1 3 1
## [8671] 1 1 1 1 1 3 1 1 3 1 1 3 3 1 3 1 1 3 3 1 3 1 1 1 3 3 1 1 2 1 3 2 1 1
## [8705] 1 3 3 1 3 3 3 1 1 1 3 1 1 3 3 3 1 1 3 3 1 3 1 3 1 1 3 3 3 1 3 3 1 3
## [8739] 1 3 1 1 3 3 3 3 3 3 3 3 1 3 3 3 1 3 3 3 1 3 3 2 1 1 3 1 1 2 3 1 1 3
## [8773] 2 1 3 3 3 3 3 1 3 2 1 3 2 3 1 3 3 1 3 3 3 3 3 3 1 1 3 3 1 1 1 1 3 2
## [8807] 1 3 1 1 3 2 1 1 3 1 3 3 1 3 1 3 3 3 3 1 2 3 3 3 3 1 1 1 3 2 3 3 2 2
## [8841] 3 3 3 2 2 2 1 3 3 2 2 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1
## [8875] 3 1 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1
## [8909] 3 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1
## [8943] 3 1 1 1 1 1 1 3 1 1 1 3 2 1 3 3 2 3 3 1 1 3 3 3 2 3 2 3 3 1 3 3 3 3
## [8977] 3 2 3 3 3 1 3 1 1 3 3 1 1 1 1 1 1 1 3 1 3 3 1 1 3 1 1 3 1 1 1 1 1 1
## [9011] 1 1 3 1 3 1 1 1 1 1 1 3 1 3 2 2 1 3 1 3 3 3 3 2 3 2 3 3 3 2 3 3 3 3
## [9045] 3 3 3 3 3 1 2 3 3 1 1 2 2 3 1 3 1 3 3 3 3 3 3 1 3 3 3 2 3 1 3 3 3 3
## [9079] 3 3 1 3 3 3 3 1 3 3 1 3 3 3 3 3 3 1 3 2 1 3 3 1 3 1 1 1 3 3 1 1 3 3
## [9113] 3 3 2 3 2 2 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 3 1 3 1 1 1 1 1 3
## [9147] 2 1 3 2 3 3 1 3 1 3 2 3 1 2 3 3 2 3 3 3 3 3 3 2 3 3 3 2 1 3 1 3 3 1
## [9181] 3 2 3 2 3 3 3 2 1 3 2 3 2 2 3 1 1 3 1 2 2 2 3 3 3 1 3 3 3 3 2 2 2 3
## [9215] 2 2 3 2 3 2 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 3 3 3 3 1 3 3 1 1 1
## [9249] 1 1 3 1 2 2 3 3 3 1 3 3 3 3 3 1 1 1 1 3 1 3 1 1 3 1 3 2 1 1 1 1 3 3
## [9283] 1 1 1 1 3 1 3 1 3 1 1 2 1 1 3 1 1 1 1 1 1 1 1 3 3 1 3 1 1 2 1 3 3 3
## [9317] 3 2 2 3 2 3 2 2 2 2 3 3 3 1 3 1 2 3 2 3 3 3 1 2 3 1 3 3 3 3 3 1 3 3
## [9351] 3 3 3 3 1 1 2 2 1 2 3 2 3 1 3 3 1 1 3 1 1 1 1 3 3 1 2 1 3 3 3 3 1 3
## [9385] 3 3 3 3 3 1 1 3 3 1 1 3 1 3 3 1 1 1 3 1 1 1 1 3 1 3 1 1 3 3 3 3 3 1
## [9419] 2 1 1 1 3 2 1 1 3 2 1 1 2 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 3 1
## [9453] 3 1 3 3 1 3 3 3 3 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9487] 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3
## [9521] 2 1 2 2 2 3 3 3 1 3 2 3 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 1
## [9555] 3 3 3 3 3 3 3 1 3 2 3 1 2 3 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1
## [9589] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1
## [9623] 3 3 3 2 3 3 1 3 2 3 2 2 3 3 1 3 3 2 1 3 3 3 2 3 3 1 2 3 3 2 3 2 3 3
## [9657] 2 3 3 2 3 2 3 2 2 2 2 2 3 3 2 3 3 1 3 2 3 3 3 1 2 3 3 3 2 3 3 3 1 3
## [9691] 3 3 2 3 3 1 3 1 3 3 3 3 3 1 3 3 1 3 1 3 3 1 3 3 3 3 3 2 1 1 1 3 3 3
## [9725] 3 2 1 3 3 1 1 3 1 1 3 2 1 3 3 3 3 3 2 2 3 1 3 3 3 3 2 1 1 1 3 3 1 2
## [9759] 3 3 1 3 1 3 3 3 2 3 3 1 1 3 3 3 3 2 3 1 3 1 3 1 1 3 3 2 1 3 1 1 1 1
## [9793] 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [9827] 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1
## [9861] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9895] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9929] 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1
## [9963] 1 1 1 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1
## [9997] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 3 2
## [10031] 1 1 1 1 3 3 1 1 3 1 1 3 1 3 1 1 1 3 3 3 1 3 3 1 3 1 1 1 1 1 1 1 1 1
## [10065] 1 3 3 3 1 1 1 1 3 3 3 1 3 3 3 1 3 3 1 3 1 3 3 3 3 3 1 3 3 3 3 3 3 1
## [10099] 1 1 1 2 3 1 3 3 2 1 3 3 3 3 1 1 3 1 2 3 2 3 2 3 3 2 3 3 1 1 3 1 3 1
## [10133] 3 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [10167] 3 1 3 1 3 1 1 3 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1
## [10201] 3 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 2 2 1 1 1 1 3 1 1 1 1 1
## [10235] 3 1 1 1 3 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3
## [10269] 1 1 1 2 1 3 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 3 1 3 3 1 3 3 3 3 3 1 1 3
## [10303] 1 1 1 3 1 1 1 3 3 1 1 3 3 1 1 1 3 1 3 1 1 3 3 1 1 1 1 1 1 1 3 1 1 3
## [10337] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 3 1 3 3 1 1 1
## [10371] 1 3 1 1 1 1 1 1 1 1 3 1 3 1 3 1 1 1 3 3 1 1 3 3 3 1 3 3 3 1 1 1 1 3
## [10405] 1 3 3 1 3 1 3 3 3 1 1 3 1 1 3 2 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [10439] 3 1 3 3 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 1 3 3 3 3 1 1 3 1 3
## [10473] 1 1 3 3 1 1 1 1 1 1 1 3 1 2 3 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 3 1
## [10507] 1 3 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 3 1 3 1 3 1 1 1 1 1 1 1 1
## [10541] 3 3 1 1 1 1 3 3 1 1 1 3 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 3 3 3 1 3 1 1
## [10575] 1 1 1 1 1 3 1 1 1 3 3 1 3 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [10609] 1 1 3 3 1 3 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 1 3 1 1 1 2 3 1 1 1 3 3 1
## [10643] 1 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 3 3 3 1 1 3 1 1 3 3 1 1 3 3 1 3 3 2
## [10677] 3 1 3 1 3 2 3 1 2 3 1 3 3 3 1 3 1 3 3 3 1 3 3 3 3 1 1 3 3 3 2 1 3 1
## [10711] 3 3 3 3 2 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3
## [10745] 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1
## [10779] 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [10813] 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 3 3 1 1 1
## [10847] 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10881] 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 3 3 1 3 1 1 3 3 3 1 1 3 3 1 3 3 3 1
## [10915] 3 3 1 3 1 3 3 1 1 3 3 3 1 1 1 1 3 3 1 3 3 3 1 1 1 1 1 1 1 1 1 2 3 1
## [10949] 1 3 1 3 3 3 3 1 1 3 1 1 3 3 1 3 1 3 1 3 3 1 2 3 3 1 3 1 1 1 3 3 1 1
## [10983] 3 1 3 1 3 3 3 1 1 1 2 3 3 3 3 1 3 3 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 3
## [11017] 2 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 2 1 1 1 3 1 1 1 1 1 2 3 3 3 3 1 3 3
## [11051] 1 1 1 1 1 3 1 3 1 1 1 3 3 3 3 3 1 3 1 1 3 3 1 1 3 1 1 3 1 3 3 1 1 3
## [11085] 2 3 3 1 1 3 3 3 1 3 1 2 3 1 2 1 1 3 3 1 3 1 2 1 1 3 1 1 3 1 3 1 3 3
## [11119] 1 1 3 1 1 1 1 3 1 3 3 3 3 3 3 2 3 3 1 3 2 3 1 2 1 3 3 1 2 1 3 2 1 2
## [11153] 3 1 1 3 3 3 1 3 1 1 3 1 3 1 3 2 1 3 3 2 3 3 1 3 1 3 3 1 1 3 3 1 1 1
## [11187] 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 3 3 1 1 1 3 3 3 3 1
## [11221] 1 3 3 2 3 3 2 3 1 3 3 1 1 3 1 3 1 1 3 3 1 1 3 1 1 1 1 1 1 1 1 1 3 2
## [11255] 1 3 1 3 2 3 3 2 3 3 3 1 1 2 1 2 2 1 1 2 3 2 3 1 2 2 3 1 1 3 2 2 1 1
## [11289] 3 3 3 1 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 1 3 3 1 3
## [11323] 1 1 1 1 3 3 3 1 3 3 3 3 3 1 3 1 3 1 3 2 2 3 3 3 1 3 1 3 3 1 1 2 3 3
## [11357] 1 3 3 1 1 3 3 1 3 3 2 3 2 3 3 3 3 2 1 1 2 3 3 1 2 3 3 3 2 3 3 3 3 3
## [11391] 3 3 3 3 2 1 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 2 3
## [11425] 3 2 3 3 2 3 3 2 3 3 3 3 2 1 3 3 3 1 3 3 3 3 3 2 2 1 2 3 3 2 2 3 2 2
## [11459] 3 2 1 1 1 3 3 3 3 3 3 3 1 3 1 1 3 3 1 3 2 3 3 3 2 1 1 1 1 1 1 3 3 3
## [11493] 3 1 1 3 1 1 2 2 3 3 1 1 3 3 3 2 3 3 3 3 2 3 3 2 2 3 2 3 3 3 2 3 3 3
## [11527] 3 2 3 1 3 1 3 2 3 3 2 1 3 3 3 3 3 3 3 3 1 3 2 2 1 3 1 3 3 3 3 2 3 3
## [11561] 3 3 3 3 3 2 3 2 3 3 3 3 1 3 3 3 3 2 3 1 3 3 3 3 1 3 3 3 3 3 3 3 3 3
## [11595] 3 3 2 2 3 3 3 2 3 3 3 3 2 3 1 3 3 3 3 3 3 3 2 3 3 3 2 3 1 3 1 1 3 3
## [11629] 3 3 3 3 2 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 3 3 3 1 2 3 3 2 3 2 2 2 3 3
## [11663] 3 3 2 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 2 3 2 2 3
## [11697] 2 2 1 3 3 3 2 2 3 2 2 2 2 3 2 1 2 2 3 2 2 2 2 2 1 1 1 2 1 2 1 1 2 3
## [11731] 3 2 3 3 3 2 3 1 3 3 3 1 3 1 3 2 1 3 1 3 1 2 3 3 3 1 1 3 3 1 1 1 1 3
## [11765] 3 3 2 3 2 1 2 1 2 1 1 1 3 3 2 1 3 1 3 3 1 3 3 2 2 2 1 1 1 3 2 2 3 3
## [11799] 3 1 3 1 3 1 1 2 2 2 2 3 1 3 2 2 1 2 1 2 1 2 3 3 2 2 2 3 1 2 1 3 2 1
## [11833] 1 1 3 3 2 1 3 3 3 3 3 3 2 3 2 1 3 1 3 1 3 3 3 1 3 3 1 1 3 1 3 1 1 3
## [11867] 2 1 1 1 1 3 1 1 3 1 3 3 3 1 1 2 3 1 2 1 3 1 1 3 2 3 2 3 2 3 1 1 3 3
## [11901] 1 1 3 3 1 1 1 3 3 3 2 3 3 3 2 1 1 1 3 2 1 1 2 1 1 3 1 1 3 1 3 3 2 1
## [11935] 3 3 3 1 3 1 1 3 3 1 2 3 3 3 2 3 1 1 3 1 3 3 3 3 1 1 3 1 1 3 3 1 3 1
## [11969] 3 1 3 1 3 3 1 3 3 2 3 1 3 3 1 3 1 1 1 1 1 1 1 3 1 3 2 1 3 3 3 3 3 3
## [12003] 3 2 1 2 1 1 3 1 1 3 3 3 3 3 1 3 2 1 3 3 1 1 2 3 1 3 3 3 3 1 2 2 2 3
## [12037] 1 1 1 3 3 3 1 3 3 1 3 3 1 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2
## [12071] 3 1 1 3 1 1 2 3 3 3 3 1 1 2 1 1 2 1 1 1 1 3 1 1 1 1 1 3 3 3 1 1 1 1
## [12105] 3 1 2 3 1 2 1 3 2 1 3 1 3 3 1 3 2 1 1 1 3 1 3 1 1 2 1 1 3 1 1 3 1 1
## [12139] 1 1 1 1 1 3 1 3 3 1 1 3 3 1 1 3 3 3 3 3 3 1 1 3 3 1 2 3 2 1 3 2 3 2
## [12173] 3 3 3 2 2 2 3 3 3 3 2 3 3 3 3 3 1 1 2 3 1 1 1 3 3 3 2 3 3 1 3 1 3 1
## [12207] 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 1 2 3 3 3 3 3 1 3 3 1 3 3 3 2
## [12241] 3 1 3 3 2 2 3 3 3 3 3 3 3 3 3 3 1 3 3 2 1 2 3 3 3 2 3 3 2 2 3 3 2 3
## [12275] 2 3 3 2 3 2 3 3 2 3 3 2 2 3 3 3 2 3 3 3 2 3 1 3 3 1 2 3 3 3 3 3 3 3
## [12309] 3 3 3 3 3 3 3 1 3 2 3 2 2 1 3 2 3 3 3 2 3 3 1 2 1 1 1 1 3 3 1 3 3 3
## [12343] 2 1 1 1 2 2 3 1 3 3 1 3 3 1 3 2 1 1 3 3 2 1 1 3 3 3 1 3 3 3 1 3 1 2
## [12377] 1 2 2 2 2 3 3 1 2 3 2 1 2 3 3 2 1 1 3 1 1 3 3 3 2 1 3 3 3 3 3 1 2 2
## [12411] 1 1 3 3 2 1 3 1 1 3 3 3 3 1 3 3 1 1 3 3 1 3 3 2 1 3 3 1 3 1 3 3 3 3
## [12445] 2 3 2 1 2 3 3 3 3 1 3 3 3 1 3 3 1 2 1 3 3 1 3 1 2 1 1 3 3 3 3 3 3 3
## [12479] 3 3 1 3 3 1 3 1 1 1 3 1 3 3 3 2 3 2 3 1 3 3 2 3 1 3 1 1 1 3 2 1 3 3
## [12513] 3 3 3 2 3 3 3 1 1 1 3 3 2 2 1 2 3 3 1 2 2 1 3 3 3 3 1 1 2 3 2 1 3 2
## [12547] 2 3 1 3 3 2 3 3 3 3 2 3 2 3 3 3 3 2 3 3 2 1 3 1 2 1 3 1 3 1 3 3 3 2
## [12581] 2 3 1 2 3 2 1 1 3 3 2 3 1 1 3 3 2 2 2 3 2 3 3 3 1 3 2 2 3 3 3 3 3 3
## [12615] 3 3 3 2 2 2 1 3 3 1 3 2 2 3 3 3 2 3 3 1 2 2 3 3 2 3 1 3 1 1 3 1 1 1
## [12649] 3 3 3 1 1 1 1 2 3 2 2 1 3 3 3 1 2 3 3 3 1 3 1 2 3 3 3 3 1 3 1 2 1 3
## [12683] 2 2 3 3 1 3 3 3 2 3 3 1 3 1 1 3 3 3 1 1 3 3 1 3 3 1 3 2 3 3 3 3 1 1
## [12717] 1 2 3 3 1 1 3 1 3 1 3 3 3 1 1 3 2 3 3 3 3 3 3 3 1 3 3 2 2 3 1 3 2 2
## [12751] 2 3 1 3 2 2 3 3 1 1 3 3 3 3 2 3 3 1 2 3 1 1 3 3 1 3 3 3 3 3 2 3 3 2
## [12785] 3 1 1 1 3 3 2 3 3 3 3 3 1 1 2 3 1 2 3 2 3 2 3 3 2 3 1 2 2 1 1 3 1 3
## [12819] 1 3 1 1 1 2 1 3 1 2 1 3 3 3 3 3 3 2 3 1 3 3 3 1 3 1 3 3 3 3 1 3 3 3
## [12853] 2 1 1 3 3 3 3 3 2 1 2 3 1 3 3 2 3 3 1 3 1 1 3 1 3 1 1 2 2 3 2 3 3 3
## [12887] 3 3 3 1 1 2 2 2 2 2 3 3 2 3 2 3 1 1 1 3 3 3 3 1 1 3 1 3 3 3 1 3 3 3
## [12921] 1 2 1 3 3 3 1 3 1 3 1 1 3 1 1 1 1 3 3 1 3 2 1 3 1 1 1 1 3 1 3 1 3 3
## [12955] 3 1 2 3 3 1 1 3 3 1 3 1 1 1 3 3 3 1 2 3 1 1 3 1 3 3 1 2 3 3 1 2 2 2
## [12989] 3 2 3 2 3 1 1 1 3 3 2 3 3 3 1 1 2 3 3 2 1 3 1 1 3 1 3 2 3 1 1 3 3 1
## [13023] 2 1 3 3 3 3 2 3 3 1 3 3 2 2 3 2 3 2 2 3 2 1 2 3 2 3 2 3 3 2 3 1 2 3
## [13057] 1 1 2 1 2 2 2 3 1 2 1 3 3 3 3 1 2 2 3 2 2 1 3 3 2 1 3 3 3 1 2 2 3 3
## [13091] 3 2 3 3 2 3 2 2 2 2 2 3 3 3 2 1 3 3 3 3 2 1 3 3 1 2 3 3 3 1 1 3 1 3
## [13125] 3 1 3 1 2 2 3 3 3 3 3 1 3 3 3 3 2 2 3 3 3 2 3 2 2 3 1 3 2 1 2 2 1 1
## [13159] 2 3 3 3 3 3 1 3 1 3 1 1 1 3 1 1 1 3 2 3 2 2 2 2 2 2 2 1 2 3 2 2 2 1
## [13193] 2 2 3 1 2 3 2 2 1 3 2 3 3 2 2 1 3 1 3 3 3 1 3 1 1 3 1 3 1 1 1 3 3 3
## [13227] 1 2 2 2 2 3 2 2 3 2 3 1 3 3 3 1 2 2 3 3 3 1 3 3 3 1 3 3 2 3 1 2 1 2
## [13261] 3 3 1 3 2 1 3 3 2 2 3 3 3 2 2 2 3 3 3 3 2 2 2 3 2 3 3 3 3 1 3 3 3 2
## [13295] 3 3 3 3 2 3 3 3 3 3 3 3 2 1 3 3 1 3 3 3 3 2 3 3 3 2 3 3 3 2 2 3 2 3
## [13329] 1 2 3 2 3 1 3 2 2 1 1 3 3 3 2 3 3 2 1 3 3 3 3 1 2 3 1 2 2 1 1 3 1 1
## [13363] 1 3 1 1 3 3 1 1 2 2 2 3 1 3 3 3 1 3 3 1 3 3 2 1 3 3 2 1 3 3 2 2 2 1
## [13397] 1 3 2 2 1 1 3 3 1 3 1 1 1 1 1 1 3 1 3 3 1 1 3 1 1 1 2 1 3 3 2 1 1 3
## [13431] 3 3 3 3 3 1 2 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 1 2 3 1 1 3
## [13465] 1 2 3 1 1 3 3 3 2 3 3 3 2 1 2 2 1 2 1 1 1 3 2 3 2 3 2 1 1 1 1 1 1 1
## [13499] 1 1 2 3 1 3 1 2 1 3 3 3 1 1 1 3 1 3 3 1 3 3 2 1 3 2 3 1 3 3 1 3 1 1
## [13533] 3 3 3 1 2 1 3 3 3 3 3 3 1 3 3 1 2 3 3 3 1 3 3 3 2 3 3 3 3 3 3 3 1 3
## [13567] 3 3 2 3 3 3 1 3 3 3 1 3 3 3 1 3 3 2 3 3 3 1 2 1 3 2 1 3 3 2 3 2 3 3
## [13601] 3 2 3 3 3 1 1 3 3 2 2 3 2 3 1 3 2 3 3 2 3 2 3 1 2 3 3 2 3 3 3 2 3 1
## [13635] 3 1 3 3 1 3 3 3 3 3 1 3 1 3 3 1 1 1 3 3 2 3 1 2 3 2 3 3 3 3 3 3 1 3
## [13669] 3 1 3 3 3 3 3 2 3 3 2 3 1 3 1 1 3 3 3 3 3 3 3 2 3 3 1 3 3 1 3 1 2 3
## [13703] 1 3 3 3 1 1 3 3 3 3 3 3 3 3 1 2 3 2 3 3 3 2 2 3 3 1 3 3 2 2 3 3 3 2
## [13737] 2 2 3 2 3 2 2 2 2 2 3 3 3 3 1 2 2 3 3 1 1 1 2 2 2 2 2 1 1 3 3 3 3 3
## [13771] 2 3 1 3 1 3 1 3 3 1 3 3 3 3 3 3 1 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 1 3
## [13805] 3 3 3 3 1 3 2 3 3 2 1 1 3 1 1 2 3 3 3 3 3 1 3 1 1 3 3 3 3 3 2 3 2 3
## [13839] 3 2 1 2 3 1 3 3 3 1 3 2 1 3 3 1 3 3 3 2 3 2 3 3 1 2 3 3 3 2 2 2 3 1
## [13873] 3 1 3 1 3 3 3 2 3 2 1 3 2 2 1 2 1 1 1 1 3 1 2 3 3 2 3 3 1 1 3 3 1 1
## [13907] 2 3 3 2 1 3 2 2 3 1 1 2 1 2 1 3 3 2 3 3 3 1 2 2 3 3 3 3 3 1 1 1 1 1
## [13941] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 3 1 1 1 3 3 3 1 3 3 1 3 3 3 3 3
## [13975] 3 3 3 3 1 3 1 3 3 1 1 3 3 2 3 3 2 3 3 1 3 3 3 3 2 3 1 1 3 3 3 1 1 3
## [14009] 3 3 3 3 2 3 3 3 3 3 3 2 3 3 1 1 3 1 2 3 3 3 1 1 3 2 3 3 1 1 1 3 3 3
## [14043] 3 3 2 1 1 2 1 1 1 2 1 2 3 3 3 3 1 3 1 3 3 3 3 3 3 1 1 2 3 1 1 1 3 3
## [14077] 3 1 3 3 3 3 3 3 2 3 2 2 3 3 3 3 1 1 2 3 3 3 3 2 3 3 3 2 3 2 3 1 1 3
## [14111] 3 1 3 3 3 3 3 3 3 1 3 3 3 3 3 3 2 2 3 3 3 2 3 3 3 3 3 3 1 3 3 1 3 3
## [14145] 1 2 3 1 1 3 1 3 3 2 1 1 3 3 2 3 3 3 2 3 3 2 3 3 3 2 1 3 1 2 1 3 1 2
## [14179] 1 1 2 3 2 2 1 1 3 1 3 1 1 2 1 2 1 2 3 1 1 1 3 1 1 3 1 3 3 3 1 3 3 3
## [14213] 3 3 2 3 3 1 1 1 1 3 3 1 1 2 3 3 3 2 3 3 3 1 3 3 3 3 3 2 3 1 3 3 3 3
## [14247] 1 3 1 1 1 3 1 1 3 3 3 2 3 3 1 1 3 3 1 1 2 3 3 3 3 3 3 3 3 3 3 1 3 1
## [14281] 3 3 3 3 3 3 3 3 3 3 3 2 1 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3
## [14315] 2 3 3 3 2 3 3 2 1 3 3 3 3 2 2 3 3 3 3 3 3 1 3 3 3 3 3 3 2 3 3 1 1 3
## [14349] 3 1 1 1 3 1 3 3 2 2 3 3 1 3 1 3 3 1 1 1 2 1 2 1 3 3 3 1 1 3 1 3 1 1
## [14383] 1 3 3 1 3 1 3 1 3 1 1 2 1 3 3 3 3 3 3 1 3 3 3 1 3 1 3 3 1 1 3 3 1 3
## [14417] 1 3 3 3 1 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 2 1 3 1 1 2 3 1 1 3 3 1 2 1
## [14451] 3 1 3 3 3 3 3 3 3 2 3 1 1 2 3 1 1 3 3 1 2 1 3 3 3 3 3 3 3 1 3 3 1 1
## [14485] 1 1 3 3 1 3 1 2 3 1 1 3 1 1 3 3 2 3 3 1 3 1 3 3 3 3 3 2 1 3 2 1 3 2
## [14519] 1 3 3 3 2 1 2 2 1 2 1 1 3 2 1 1 1 1 1 3 1 3 3 1 3 1 3 2 3 2 3 1 3 1
## [14553] 3 1 1 3 3 3 3 1 1 3 1 3 3 3 1 3 3 3 1 2 1 2 1 3 1 3 1 3 3 1 3 1 1 3
## [14587] 3 1 3 1 3 3 1 1 1 1 1 1 3 3 3 1 3 2 1 1 1 1 3 3 1 3 3 1 1 1 3 3 1 1
## [14621] 3 3 1 3 1 1 1 1 1 1 3 1 1 3 3 1 3 3 1 1 3 1 1 3 1 1 3 1 3 1 3 1 1 1
## [14655] 3 3 1 1 3 1 1 3 3 1 3 1 3 3 1 3 3 3 3 3 3 2 3 3 2 2 3 2 3 3 1 3 3 3
## [14689] 3 3 2 2 1 3 3 3 2 2 2 3 3 3 1 2 3 3 3 3 3 2 3 3 3 2 3 3 3 2 3 3 1 3
## [14723] 3 1 1 3 3 3 3 3 2 3 1 1 3 1 1 1 1 1 2 1 3 3 3 3 3 3 3 3 1 3 1 1 3 1
## [14757] 1 1 3 1 3 3 1 1 1 3 2 3 1 3 3 3 1 1 1 1 3 3 1 1 3 1 3 1 3 1 3 1 3 3
## [14791] 1 2 1 3 3 3 3 1 3 3 3 1 1 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 3 1 3 3 2 1
## [14825] 3 3 3 1 3 3 1 1 1 3 3 3 1 1 3 3 1 1 2 1 1 2 1 1 1 2 1 2 1 1 3 3 1 3
## [14859] 3 3 3 3 2 3 3 1 3 1 3 2 3 3 1 3 1 3 3 1 2 1 1 3 3 1 3 1 1 3 3 3 1 3
## [14893] 3 3 1 1 1 1 3 2 3 1 1 3 1 3 3 3 1 2 1 3 3 3 2 3 3 3 3 3 1 2 2 2 3 3
## [14927] 3 3 3 3 3 2 2 2 1 3 3 3 2 3 3 3 3 3 2 3 3 3 1 1 3 1 3 3 3 3 3 3 3 3
## [14961] 3 3 3 3 3 3 3 3 3 2 3 3 3 1 3 3 2 3 3 3 1 1 2 3 3 3 2 2 3 1 3 3 3 3
## [14995] 3 2 3 1 1 3 3 3 3 3 3 1 1 3 2 3 3 3 3 1 3 3 3 1 1 1 1 1 3 1 1 3 1 1
## [15029] 3 1 3 3 1 1 3 3 1 3 1 3 3 1 1 3 3 3 3 3 1 3 3 3 3 2 3 1 1 1 1 3 3 2
## [15063] 1 1 1 3 3 3 3 2 1 1 3 1 3 3 1 1 3 3 1 1 3 1 1 1 3 1 1 3 3 1 1 1 1 1
## [15097] 1 3 1 3 1 3 1 3 3 1 3 1 1 3 3 3 3 1 1 1 1 3 1 1 1 3 1 3 1 3 3 1 1 3
## [15131] 1 1 3 3 1 1 3 3 1 1 3 1 1 1 3 3 3 1 3 3 1 3 3 3 3 3 2 3 3 1 3 1 1 3
## [15165] 1 3 1 3 3 3 1 3 3 1 1 3 1 3 3 3 1 3 3 3 1 1 3 3 3 1 3 1 3 1 1 3 1 1
## [15199] 1 1 3 3 1 3 2 3 1 3 1 1 1 1 3 1 3 1 3 3 3 1 2 3 3 1 1 3 3 1 3 1 1 1
## [15233] 3 3 3 1 1 2 3 1 1 3 1 3 3 1 2 3 3 1 2 2 3 3 2 3 3 3 3 2 2 2 2 3 2 3
## [15267] 2 2 3 3 3 2 3 3 3 3 3 1 3 2 3 1 1 3 3 1 3 2 3 3 3 1 3 2 2 3 1 3 1 2
## [15301] 1 3 3 1 1 3 3 1 3 1 1 2 3 3 3 3 3 1 3 3 3 2 3 2 3 1 3 1 2 3 3 2 1 1
## [15335] 2 1 3 2 3 1 3 3 3 3 3 3 2 1 3 3 3 3 1 3 3 1 1 3 3 1 3 1 1 1 3 1 2 1
## [15369] 1 3 3 2 2 3 1 3 1 2 2 2 1 1 3 1 3 1 1 3 3 1 3 1 2 3 3 3 3 3 2 3 3 2
## [15403] 1 2 3 3 3 1 3 1 1 3 2 1 1 2 3 2 2 1 3 3 3 2 3 1 2 3 3 3 2 3 3 1 3 3
## [15437] 1 3 3 1 3 1 1 1 3 3 3 2 2 3 1 3 3 3 3 1 3 3 1 1 3 3 3 3 3 1 3 2 3 1
## [15471] 1 3 3 3 3 1 1 3 1 1 1 3 3 1 1 1 1 1 3 3 1 1 3 1 1 3 3 3 3 3 1 3 3 3
## [15505] 3 3 1 2 3 1 1 3 3 3 3 2 2 3 3 3 3 3 3 3 1 3 3 2 2 1 1 1 1 1 3 1 1 1
## [15539] 3 3 2 1 3 3 1 1 3 1 1 1 3 1 1 1 1 2 1 3 1 1 3 1 1 3 1 1 1 3 1 1 1 1
## [15573] 3 1 1 1 3 1 1 3 3 3 1 3 3 1 1 3 1 3 1 1 1 3 1 3 1 3 2 3 3 2 1 3 3 3
## [15607] 3 1 1 3 3 3 1 3 3 3 1 3 3 3 3 1 2 3 2 1 3 1 1 1 3 1 2 3 3 3 3 3 2 3
## [15641] 2 1 3 1 3 3 3 1 3 3 3 3 3 3 1 3 3 2 2 2 1 2 2 2 3 3 1 3 3 2 3 1 1 2
## [15675] 2 3 1 3 1 3 1 3 1 1 3 3 2 1 2 1 3 1 3 3 3 1 3 3 1 3 1 3 1 1 3 3 3 1
## [15709] 3 3 3 1 1 1 2 3 2 3 1 3 3 1 3 3 3 3 3 2 3 3 3 3 3 3 3 3 1 1 1 3 3 3
## [15743] 3 1 3 1 1 3 3 3 1 1 3 3 1 3 1 3 3 3 3 1 3 1 3 3 1 3 1 3 3 3 3 1 1 1
## [15777] 1 3 1 1 3 1 3 3 1 1 3 3 1 1 3 1 1 3 3 3 3 3 1 3 3 3 1 3 1 3 3 3 1 3
## [15811] 1 3 1 1 1 1 1 1 1 3 1 1 3 3 1 3 3 3 3 1 1 3 3 3 1 3 2 1 3 3 3 3 1 3
## [15845] 1 1 1 1 3 1 1 3 1 3 1 3 2 3 3 3 1 3 2 2 1 1 3 3 3 3 3 3 1 2 1 3 1 3
## [15879] 1 3 3 3 1 3 3 3 1 3 2 1 1 1 1 3 3 3 1 1 1 1 3 3 2 3 1 1 3 3 3 1 1 3
## [15913] 3 3 3 1 2 3 3 1 1 3 2 3 3 3 1 3 3 3 3 3 1 1 3 1 3 3 3 1 3 3 3 3 3 3
## [15947] 2 1 3 3 1 3 3 3 3 3 1 3 1 1 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 3 2
## [15981] 2 3 3 3 2 3 3 3 3 2 3 3 3 3 1 2 2 3 2 3 3 3 2 2 1 1 3 1 1 1 2 1 2 2
## [16015] 3 1 2 2 1 1 3 2 3 3 3 2 3 3 3 1 3 3 3 3 1 3 1 3 2 1 3 1 2 2 2 1 2 2
## [16049] 3 1 2 3 1 1 1 1 2 3 3 2 3 3 2 1 3 2 2 2 2 1 1 1 3 3 3 1 3 2 1 3 2 3
## [16083] 2 3 2 3 2 3 1 3 1 1 3 3 3 3 3 3 2 3 3 3 1 1 3 2 1 2 3 3 2 3 3 3 3 2
## [16117] 1 3 3 3 3 1 3 2 3 3 2 1 3 3 3 3 2 2 1 1 3 3 3 3 2 3 1 3 3 1 2 2 2 2
## [16151] 2 3 3 3 3 3 2 1 3 1 1 3 3 3 1 1 1 2 3 1 3 1 3 3 2 1 1 1 1 1 1 3 3 3
## [16185] 1 1 3 3 1 1 3 1 3 3 3 3 1 3 3 3 1 2 2 2 1 1 3 1 1 1 3 1 1 2 1 1 3 1
## [16219] 1 1 3 1 3 1 1 1 3 1 1 1 3 3 1 1 1 1 1 3 3 1 1 1 2 1 1 1 1 1 3 1 1 1
## [16253] 3 2 1 1 3 3 1 1 3 1 3 1 1 2 1 1 1 1 2 3 1 1 1 1 2 1 1 1 1 1 1 1 3 3
## [16287] 3 1 1 3 1 1 1 1 1 3 1 1 1 1 2 1 1 1 3 3 3 3 3 2 3 3 3 3 2 3 2 3 3 3
## [16321] 3 3 3 2 1 1 3 3 3 2 2 3 3 3 2 3 1 3 2 3 1 3 3 3 1 2 1 3 3 2 3 3 1 3
## [16355] 1 3 1 3 3 3 2 3 3 3 3 3 3 2 1 3 3 3 3 1 3 1 3 3 2 3 1 3 3 1 3 3 1 3
## [16389] 2 3 2 3 3 2 3 1 3 1 2 3 3 3 3 3 1 1 3 3 1 3 3 1 1 3 1 1 3 3 1 3 3 1
## [16423] 1 3 2 3 3 1 1 1 3 1 1 3 1 1 3 1 1 2 1 3 1 1 3 3 1 3 1 1 1 3 1 1 1 3
## [16457] 1 3 3 1 1 1 3 3 3 3 2 1 1 3 1 1 1 3 1 3 1 1 1 3 3 1 3 1 3 3 3 1 3 1
## [16491] 3 1 1 3 3 1 3 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 2 1 1 1 3 3 1 1 1 2 1
## [16525] 1 1 1 1 1 3 2 1 2 1 3 3 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 1 3 3 3
## [16559] 1 2 1 3 1 1 1 1 3 3 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16593] 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 3 3
## [16627] 1 1 1 1 3 3 3 3 3 1 3 1 1 3 1 3 3 1 3 3 3 3 2 3 3 3 1 3 1 3 1 1 3 2
## [16661] 2 1 1 3 3 2 3 3 1 1 3 3 3 1 3 3 1 1 3 3 2 3 3 1 1 1 3 1 1 3 1 1 1 1
## [16695] 1 1 1 1 1 3 1 3 3 3 3 1 1 3 1 3 1 1 3 1 3 1 3 2 3 1 3 3 1 3 1 1 1 1
## [16729] 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [16763] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [16797] 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16831] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [16865] 3 2 3 2 3 1 3 3 3 3 1 3 1 3 2 3 1 1 3 3 3 1 1 3 1 1 1 3 3 1 3 1 3 1
## [16899] 3 3 1 3 3 3 1 1 3 1 3 1 1 3 3 1 3 1 3 3 3 3 3 1 3 1 3 3 3 1 1 3 1 1
## [16933] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1
## [16967] 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [17001] 1 1 1 2 3 1 2 1 1 3 1 3 1 1 1 3 1 1 3 3 1 3 1 1 3 3 3 1 1 1 1 1 1 1
## [17035] 1 1 1 3 3 1 3 1 3 2 1 1 1 1 3 1 3 1 1 3 3 1 1 1 3 1 1 1 1 1 3 1 1 3
## [17069] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 1 3 1 1 3
## [17103] 3 1 1 1 2 1 1 1 1 3 1 1 1 3 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [17137] 1 1 1 3 3 1 3 1 1 2 1 1 1 3 1 3 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [17171] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [17205] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 2 1 1 1 1 1 1 1 1 3 1 1
## [17239] 1 1 1 1 1 1 1 1 3 1 1 3 1 1 2 2 3 3 1 1 1 1 1 3 1 2 1 1 3 1 1 3 3 1
## [17273] 3 1 3 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 3 3 3 2 1 1 1 1 1 3 3 3 1
## [17307] 1 1 3 3 1 3 3 1 1 3 1 3 1 1 1 2 3 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 3 3
## [17341] 3 3 1 1 3 3 3 1 1 1 1 1 3 3 1 1 1 3 3 1 1 3 1 1 3 3 1 1 3 3 3 3 3 1
## [17375] 2 2 1 1 3 1 1 3 3 1 1 3 3 3 3 1 1 1 3 1 1 2 1 1 1 1 1 1 3 1 3 1 3 3
## [17409] 1 1 3 1 1 3 1 1 3 1 1 1 1 3 3 3 1 3 3 3 3 1 1 3 3 1 1 1 1 3 2 3 3 3
## [17443] 1 1 3 1 1 1 1 3 3 1 3 1 1 2 3 1 1 1 1 3 1 3 1 1 1 3 1 1 2 1 1 1 3 1
## [17477] 1 3 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 3 3 3 3 3 2 3 1 3 1 3 3 3 3 1 3 3
## [17511] 3 3 2 3 2 1 3 3 1 1 1 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 2 1 3 3 3 3 2 3
## [17545] 1 3 3 1 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 1 2 3
## [17579] 3 1 3 3 3 1 3 3 3 3 3 3 1 2 1 3 1 1 1 3 3 1 1 1 1 1 3 1 3 1 1 1 1 1
## [17613] 1 1 1 3 1 3 3 1 1 3 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [17647] 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 1 1 1 3 1 1 3 1 3 1
## [17681] 3 1 1 3 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 3 3
## [17715] 1 3 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 1 3 3 1 1 3 1 1 1 3 1 1 1 3 3
## [17749] 1 1 3 1 1 1 1 3 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 1 3 1 3 3 3 1 1 1
## [17783] 1 3 1 1 1 1 3 1 1 1 3 3 1 3 3 3 1 3 2 1 1 3 2 1 3 3 3 1 3 1 1 3 3 3
## [17817] 1 3 3 3 1 3 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 3 3 1 1 1 3 1 3 1 3 1
## [17851] 1 3 3 3 3 1 1 1 1 1 2 1 2 3 3 3 1 1 3 1 1 1 3 1 1 3 3 3 3 3 3 3 1 3
## [17885] 3 3 3 3 1 3 1 3 3 3 3 3 3 3 1 1 3 1 3 3 1 3 3 3 1 3 3 3 1 3 3 1 3 3
## [17919] 3 3 1 1 3 3 3 1 3 3 1 3 1 1 3 1 3 3 1 1 3 3 3 3 1 1 3 3 1 1 1 1 3 1
## [17953] 3 1 1 1 3 3 1 1 3 3 1 1 3 1 1 1 3 1 1 1 1 1 3 3 3 1 3 3 3 3 1 2 3 3
## [17987] 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 2 3 1 1 3 1 3 1 3 3 2 3 3 3 3 1 1 2 3
## [18021] 3 3 3 1 1 3 3 1 3 1 3 3 3 3 3 3 1 3 3 1 1 3 3 1 3 3 1 3 1 3 1 3 3 3
## [18055] 1 1 3 1 1 3 3 3 2 3 1 1 1 3 1 1 1 3 3 3 1 1 3 3 3 1 1 1 3 1 1 1 2 3
## [18089] 3 1 1 2 1 1 3 3 1 3 3 1 3 1 1 3 3 3 3 3 1 3 3 1 3 3 3 1 3 3 3 1 3 3
## [18123] 3 2 3 3 1 1 1 3 1 3 3 3 3 3 2 3 1 3 3 3 3 3 1 3 3 3 1 2 3 1 3 3 3 1
## [18157] 3 3 3 3 2 1 3 3 3 1 3 3 3 1 3 1 3 1 1 3 3 1 2 3 2 3 3 3 1 3 3 3 3 3
## [18191] 3 3 2 3 3 3 2 3 3 2 1 3 1 3 1 1 3 1 1 1 1 1 1 3 1 3 1 1 1 3 1 3 1 3
## [18225] 3 1 1 1 1 1 1 3 3 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 3 3 3 1 1 1 3 3 3 1
## [18259] 3 3 3 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 1 1 3 3 1 3 3 1 1 1 1 3 1 3 1 1
## [18293] 3 1 1 1 1 3 1 1 3 1 2 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [18327] 1 3 3 1 3 3 1 1 1 1 3 3 1 3 1 1 3 1 1 1 1 2 1 1 1 1 3 1 3 1 1 3 3 1
## [18361] 1 3 1 1 3 3 1 1 1 1 1 1 1 3 1 1 3 3 1 3 1 1 1 1 1 1 3 1 2 1 1 1 3 3
## [18395] 3 1 1 3 1 3 1 3 1 1 1 3 3 1 1 1 3 1 2 1 3 1 3 1 3 2 1 3 3 1 1 1 3 1
## [18429] 1 1 1 2 3 2 3 3 1 1 1 3 1 3 1 1 3 3 1 1 1 3 1 3 3 3 3 3 1 1 3 1 1 3
## [18463] 3 3 3 3 1 1 1 1 3 1 1 3 3 1 1 1 3 1 3 3 1 3 3 1 3 1 3 3 1 1 3 1 3 1
## [18497] 1 3 3 1 3 1 1 3 1 1 1 3 3 1 1 3 3 3 3 1 3 1 3 1 1 3 1 1 1 1 1 3 3 1
## [18531] 3 3 3 1 1 3 3 3 1 1 3 3 3 3 1 3 1 1 1 1 1 3 1 1 3 1 3 1 1 3 3 3 1 1
## [18565] 3 3 3 1 3 1 3 1 3 3 3 3 3 3 1 1 3 1 3 2 1 3 1 3 3 1 3 1 1 1 1 1 1 1
## [18599] 1 3 1 3 1 1 3 3 1 3 3 3 3 1 3 3 3 3 1 3 1 3 1 1 1 3 1 2 1 3 1 1 3 1
## [18633] 3 1 3 3 1 1 1 1 1 3 2 3 1 2 3 3 3 3 1 1 3 3 1 3 3 1 3 1 1 3 3 3 3 1
## [18667] 3 3 3 1 3 2 3 1 1 3 3 3 3 1 1 1 3 1 3 1 1 1 3 3 1 1 1 3 1 3 1 1 1 3
## [18701] 3 3 1 2 2 1 3 1 3 1 1 3 1 1 1 1 3 1 1 3 1 3 1 1 1 1 1 3 3 1 1 1 1 1
## [18735] 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 2 1 3 3 1 3 3 3 1
## [18769] 3 3 3 2 3 2 1 3 3 1 3 1 3 3 1 1 3 1 1 1 3 3 1 3 1 3 1 1 3 3 1 3 1 1
## [18803] 3 3 3 3 2 3 3 1 3 2 3 3 3 2 3 1 3 3 1 3 2 3 3 1 1 3 3 3 2 3 3 1 3 1
## [18837] 1 1 3 3 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 1 3 1 1 1 1 3 1 1 3 3 1 1 3 1
## [18871] 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 1 1 1 3 3 1 3 1 3 1 1 1 1 1 1 3 3
## [18905] 2 1 3 1 1 3 3 1 3 1 3 3 3 3 1 3 1 1 1 1 1 3 1 3 2 3 3 3 1 3 3 1 1 1
## [18939] 1 3 1 1 1 1 3 1 1 1 3 1 3 3 3 3 1 3 3 2 1 3 1 1 1 1 1 1 3 1 3 1 3 3
## [18973] 1 3 3 1 3 1 3 1 1 3 3 1 3 3 3 1 1 1 3 3 1 3 3 1 1 3 3 1 3 1 1 1 1 3
## [19007] 1 1 1 3 3 3 1 3 3 1 1 1 3 3 1 1 1 1 3 2 3 1 3 3 3 1 1 1 1 1 1 1 1 3
## [19041] 2 1 3 1 3 1 3 1 1 1 2 1 1 1 1 1 1 3 1 3 1 3 1 3 1 3 3 1 1 2 1 3 1 3
## [19075] 1 3 3 2 1 1 2 1 3 1 1 1 1 3 1 3 1 3 1 3 3 1 3 3 2 1 1 1 3 3 1 1 3 1
## [19109] 1 1 1 1 1 3 1 1 1 1 3 3 3 1 3 1 1 3 2 1 2 1 3 1 3 3 2 3 1 1 3 3 1 3
## [19143] 1 3 3 3 3 1 3 3 1 3 3 3 1 1 3 3 3 1 1 1 3 3 1 1 1 3 3 3 3 1 1 3 1 3
## [19177] 3 1 1 3 1 3 3 3 3 1 1 3 3 3 1 1 1 1 1 1 3 1 3 3 1 3 1 1 1 3 1 3 3 1
## [19211] 3 1 3 1 1 3 3 1 3 1 3 3 3 1 1 1 3 2 3 1 3 1 3 3 3 1 2 3 1 3 1 3 1 1
## [19245] 1 1 1 1 3 1 1 1 1 3 1 3 3 1 1 1 3 1 1 1 1 1 3 3 2 1 1 1 1 1 1 1 1 1
## [19279] 3 1 3 1 1 1 1 1 3 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 1 3 3 1 3 1 3 1 3 3
## [19313] 3 3 1 3 1 3 3 3 3 1 1 1 3 3 1 1 1 1 1 3 1 1 3 3 1 3 3 3 2 3 1 3 1 1
## [19347] 1 1 1 3 2 3 2 1 3 3 1 3 3 2 1 1 1 3 1 1 1 1 1 1 2 1 3 2 3 1 3 1 1 3
## [19381] 1 2 1 1 3 1 3 3 1 1 1 3 1 1 3 1 2 1 1 3 1 3 3 1 1 3 3 1 3 3 1 3 3 1
## [19415] 2 3 3 3 1 1 3 3 3 3 1 3 1 3 3 3 3 3 1 3 3 3 1 1 3 3 3 3 1 3 3 3 3 3
## [19449] 3 1 1 3 3 3 3 1 3 3 3 3 3 3 3 1 1 3 3 2 1 3 1 1 3 3 3 3 3 1 3 3 3 1
## [19483] 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1 1 3 1 1
## [19517] 1 3 3 3 3 3 1 3 1 1 1 3 1 3 3 3 1 3 1 3 3 3 1 1 1 1 3 1 3 1 1 3 1 3
## [19551] 1 3 3 2 3 3 1 3 1 1 1 3 3 1 2 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3 2 3
## [19585] 3 3 1 1 3 1 3 3 1 3 3 3 1 3 3 3 1 1 3 3 1 1 3 1 1 1 1 1 3 3 1 3 3 1
## [19619] 1 1 1 1 3 1 1 3 1 3 1 3 1 1 3 3 1 1 1 3 3 1 3 1 1 2 1 1 3 3 1 3 1 3
## [19653] 3 3 3 3 2 3 3 1 1 3 3 3 3 2 1 3 1 3 1 1 1 1 1 3 3 3 1 3 3 3 1 3 1 1
## [19687] 1 3 1 3 3 3 3 1 3 1 1 3 1 1 1 1 3 1 1 3 1 1 3 1 2 1 3 1 1 1 1 3 3 1
## [19721] 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 3 1 3 3 1 1 1 1 3 3 1 3 1 1 3 1
## [19755] 1 1 1 2 1 1 1 1 1 3 1 3 2 1 1 3 3 1 1 3 1 1 3 3 1 1 1 1 1 1 1 1 3 1
## [19789] 1 3 3 1 3 1 1 1 1 1 1 1 3 1 2 3 3 3 1 1 3 1 1 3 1 1 3 3 3 3 1 3 1 1
## [19823] 1 1 3 1 1 1 3 1 3 3 1 1 1 1 1 3 1 1 3 3 1 1 1 3 2 3 1 1 1 3 1 3 3 3
## [19857] 3 1 1 1 1 3 3 1 3 1 3 3 3 1 1 1 1 3 3 3 3 1 3 1 3 1 3 1 1 3 1 3 2 1
## [19891] 1 1 3 2 3 3 3 3 3 3 3 3 2 3 3 2 3 3 2 2 2 2 2 3 3 3 3 2 1 3 1 1 1 1
## [19925] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [19959] 1 1 3 3 3 2 2 1 1 1 1 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3
## [19993] 3 1 1 3 1 3 3 3 3 1 1 1 3 2 2 1 3 2 1 3 3 3 3 2 3 3 3 1 3 1 3 1 3 3
## [20027] 3 2 3 1 1 3 3 3 3 1 2 3 3 1 3 3 3 3 3 2 3 3 3 3 1 1 3 1 1 1 3 1 3 3
## [20061] 3 1 3 3 1 3 1 3 1 3 1 3 3 1 3 1 3 2 3 3 3 1 3 3 3 3 3 3 3 1 3 1 1 1
## [20095] 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1
## [20129] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [20163] 1 3 1 1 2 2 2 2 1 1 1 2 1 1 1 1 2 1 1 2 1 3 3 2 3 2 3 3 1 3 3 2 3 2
## [20197] 2 1 2 2 2 1 3 1 2 3 3 3 2 2 3 2 2 3 3 2 3 3 3 3 1 2 2 2 2 3 2 3 2 3
## [20231] 1 3 3 1 1 3 3 3 3 1 3 1 1 3 3 3 3 1 1 1 3 1 1 1 1 2 2 3 3 3 1 3 3 3
## [20265] 1 2 1 3 3 3 1 3 3 1 1 1 1 2 1 3 3 1 3 1 3 1 1 3 1 3 3 2 3 3 1 1 1 2
## [20299] 1 3 1 3 3 3 3 1 3 2 1 1 3 3 3 1 1 1 3 3 3 1 1 1 3 1 1 1 3 1 3 1 3 1
## [20333] 1 1 3 1 1 3 1 1 1 1 3 3 1 1 3 1 1 3 1 3 1 1 1 3 1 3 3 3 3 1 1 1 1 3
## [20367] 3 1 1 1 3 1 1 3 1 1 3 3 1 1 3 3 1 1 3 1 1 3 3 3 3 3 1 3 3 3 3 2 3 2
## [20401] 1 3 2 1 3 3 2 1 3 3 3 3 1 3 3 3 3 3 1 1 1 1 1 1 1 3 1 1 3 3 2 3 3 3
## [20435] 1 1 3 3 3 3 3 1 3 3 3 3 1 3 1 3 3 3 3 3 3 3 3 3 3 1 3 3 1 1 3 3 1 1
## [20469] 3 3 1 1 3 3 3 3 3 3 1 1 1 1 3 1 3 3 1 3 1 3 3 3 3 1 3 1 3 1 1 1 2 3
## [20503] 3 2 2 3 1 3 3 3 1 1 3 1 3 1 1 1 3 3 3 3 3 3 3 3 1 1 1 1 3 1 1 3 1 1
## [20537] 3 3 3 3 3 3 3 1 1 1 1 1 1 3 3 3 1 1 3 1 3 1 3 3 3 3 2 3 3 3 3 3 2 2
## [20571] 2 3 2 2 2 3 2 3 3 2 2 1 1 2 3 3 3 2 3 3 3 3 3 2 2 2 2 3 2 3 1 3 3 2
## [20605] 2 2 3 3 3 2 2 3 3 3 2 2 3 3 2 2 3 3 3 2 3 1 2 2 3 2 1 3 2 3 3 2 3 3
## [20639] 3 2 3 3 2 2 2 3 2 3 3 2 2 3 2 3 3 3 2 1 1 3 1 3 3 3 1 3 3 3 1 1 3 3
## [20673] 1 3 3 1 3 3 3 3 1 3 1 3 3 1 3 3 3 3 3 1 3 1 3 3 3 3 3 3 3 1 2 1 3 1
## [20707] 3 1 3 3 3 1 1 3 3 1 1 3 3 3 3 3 3 1 1 3 1 1 3 3 3 1 3 3 1 3 3 3 2 3
## [20741] 3 3 3 1 3 3 1 1 1 3 1 1 1 3 2 1 1 1 1 3 2 1 3 1 1 1 1 1 1 1 3 1 3 3
## [20775] 1 1 1 3 3 1 3 1 1 1 3 1 1 1 1 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3
## [20809] 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [20843] 1 1 1 1 3 3 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [20877] 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 1
## [20911] 3 1 3 1 1 3 3 1 3 2 3 1 1 1 3 1 3 3 3 3 1 3 3 1 2 1 1 3 3 3 3 3 3 3
## [20945] 3 3 3 1 1 1 3 3 3 2 3 1 3 1 3 3 3 2 3 1 1 3 1 3 1 3 3 2 1 3 1 1 3 1
## [20979] 1 3 1 3 1 1 3 1 1 3 3 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 2
## [21013] 3 1 1 3 3 1 1 3 1 3 3 1 3 1 1 3 1 3 1 3 3 1 1 3 3 3 1 1 1 3 3 1 3 1
## [21047] 3 1 1 1 1 1 1 3 3 1 1 1 1 3 3 3 3 1 1 1 3 3 1 1 1 3 2 3 3 3 1 1 3 3
## [21081] 1 1 1 3 1 1 3 3 3 1 3 3 3 3 1 3 3 3 3 1 3 2 3 3 3 1 1 2 1 1 2 3 3 3
## [21115] 1 3 3 3 1 3 1 1 2 1 3 3 3 3 3 1 3 2 3 3 1 1 1 1 1 1 3 3 3 3 1 3 1 3
## [21149] 1 1 1 1 1 3 1 3 1 1 1 1 3 3 3 1 3 3 3 2 3 2 3 3 2 3 3 3 3 3 3 3 3 2
## [21183] 3 3 3 3 3 3 1 3 1 2 3 3 2 1 3 3 1 3 3 3 3 1 3 3 1 1 3 2 3 3 1 3 1 3
## [21217] 3 2 3 1 2 3 3 3 1 1 1 1 3 3 1 3 3 1 1 3 3 1 1 1 3 1 3 1 1 1 1 1 3 3
## [21251] 1 3 3 3 3 3 1 3 3 3 3 3 3 1 3 1 3 3 1 3 1 3 1 1 1 1 2 3 1 3 3 3 3 3
## [21285] 1 1 2 2 2 2 3 3 3 1 3 1 1 3 3 3 1 1 1 3 1 3 3 1 1 1 3 1 2 3 1 1 3 1
## [21319] 1 1 3 1 1 2 1 3 2 2 2 2 3 3 3 3 3 3 1 1 3 1 3 3 1 1 3 3 3 3 3 3 3 3
## [21353] 3 1 1 3 1 1 2 3 1 3 3 1 3 1 1 3 3 1 3 1 1 1 1 3 1 1 3 1 3 1 1 1 1 1
## [21387] 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1 3 1 3 1 1 3 1 1
## [21421] 1 3 3 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1
## [21455] 1 1 3 1 3 3 1 1 3 3 3 3 1 1 1 1 1 1 3 3 3 1 1 3 1 1 3 1 3 3 1 3 1 1
## [21489] 1 1 2 3 3 3 1 1 3 1 3 2 3 3 2 3 1 3 3 1 1 3 1 1 1 1 1 1 3 3 1 1 1 1
## [21523] 1 3 3 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [21557] 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [21591] 3 3 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 1 1 1 3 1 3 1
## [21625] 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 1 3 3 1 1 3 1 1 3 1 1 3 1 3 1 1 1 3 1
## [21659] 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 3 1 3 3 3 1 1 1 1 1 1 3 1 1 1 1 3 1 1
## [21693] 3 3 3 1 1 3 1 3 3 1 3 3 3 1 1 3 3 2 2 2 3 3 2 2 3 2 3 3 3 3 3 3 1 3
## [21727] 3 3 3 3 3 3 3 1 3 1 3 1 3 1 2 1 3 1 3 2 2 1 3 3 2 3 1 3 2 2 3 1 3 3
## [21761] 3 2 3 1 3 1 3 3 2 1 1 3 3 3 2 2 3 3 3 3 3 2 3 1 2 3 3 3 3 3 3 3 3 3
## [21795] 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 3 3 3 3 1 3 3 3 2 2 3 3
## [21829] 1 2 3 3 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 1 3 3 3 2 3 3 3 3 3 3 2 3 3 3
## [21863] 3 2 1 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 2 3 3 1 3 3 1 3 3 1
## [21897] 3 3 1 1 2 1 1 3 3 3 1 3 3 1 1 1 3 1 1 3 3 1 3 1 1 1 1 1 1 3 1 1 3 1
## [21931] 1 1 1 2 1 3 1 3 1 1 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 1 1
## [21965] 1 3 1 3 1 1 1 1 1 3 3 1 3 1 3 2 3 2 3 3 3 1 3 3 3 3 3 3 3 2 3 2 2 3
## [21999] 3 2 3 3 3 3 2 3 3 2 3 3 1 3 3 1 3 3 2 3 3 3 1 3 1 1 3 1 2 3 1 1 3 3
## [22033] 1 3 3 1 1 1 3 3 1 3 3 2 3 1 3 3 3 1 1 3 2 1 3 1 3 1 3 1 2 3 1 3 3 3
## [22067] 3 3 3 3 3 1 3 3 3 1 1 3 1 1 3 1 1 1 3 1 1 2 3 1 3 2 2 3 2 1 3 1 3 1
## [22101] 1 3 1 3 1 3 2 1 2 1 3 1 3 3 1 3 3 3 1 1 3 3 1 1 3 1 3 3 3 3 1 1 3 3
## [22135] 3 1 1 2 1 3 2 1 1 3 3 1 1 1 3 1 3 1 1 3 3 1 1 3 3 1 3 3 1 1 1 3 2 3
## [22169] 1 1 1 1 3 3 1 3 1 1 1 1 3 2 3 1 1 3 3 3 3 3 1 1 1 1 3 3 3 1 3 1 3 1
## [22203] 3 1 1 1 1 1 1 3 3 1 1 3 3 3 1 3 3 3 1 2 3 3 3 3 3 3 1 3 1 1 1 3 3 3
## [22237] 3 1 1 3 1 1 3 3 1 3 3 1 3 1 3 1 3 3 3 3 3 1 3 2 1 3 3 1 1 1 3 3 3 1
## [22271] 3 2 3 3 3 3 3 3 3 3 3 3 3 1 1 1 3 1 3 3 1 3 3 1 1 2 1 1 1 3 1 2 3 1
## [22305] 3 3 3 3 3 1 3 1 1 1 3 3 3 3 3 1 1 1 2 3 1 3 3 1 3 1 3 1 1 3 3 1 3 3
## [22339] 1 1 3 3 3 3 3 1 3 2 1 3 1 3 3 3 3 1 3 1 3 1 1 3 1 2 1 1 3 1 1 1 1 3
## [22373] 3 1 1 3 1 3 1 3 1 1 3 3 3 3 1 3 1 1 1 3 3 3 3 3 3 3 1 1 1 1 3 3 3 1
## [22407] 3 1 1 1 3 1 1 1 1 1 3 1 1 1 3 3 3 3 1 1 2 3 2 1 3 3 1 1 1 1 3 3 3 1
## [22441] 1 3 3 3 1 1 3 2 1 3 1 1 3 1 1 2 3 3 3 2 3 1 3 3 2 1 3 2 2 3 3 2 3 2
## [22475] 3 1 3 3 2 3 3 2 3 1 3 3 3 1 2 3 3 2 2 2 3 3 2 1 3 3 2 2 3 2 3 3 1 3
## [22509] 3 1 3 3 1 3 2 2 3 3 1 3 2 2 2 2 3 2 1 3 3 1 1 1 1 1 1 3 1 1 1 1 3 3
## [22543] 1 3 1 3 3 3 3 2 3 3 3 2 1 2 1 3 1 3 1 3 3 1 3 3 2 1 3 3 3 3 1 2 3 3
## [22577] 1 2 3 1 1 3 1 3 1 3 3 3 1 1 1 1 3 3 3 3 3 3 2 3 2 3 3 3 1 3 1 1 1 1
## [22611] 3 3 1 3 3 3 3 3 3 2 3 2 3 1 1 2 3 1 3 3 3 3 3 3 3 1 3 2 1 1 3 1 1 3
## [22645] 3 3 3 3 1 1 3 3 1 3 2 3 3 1 3 3 1 3 2 1 2 1 3 3 1 1 3 1 3 3 3 1 3 1
## [22679] 3 2 3 3 1 3 3 3 1 1 1 1 1 1 2 1 1 1 3 1 3 1 3 3 3 2 2 2 3 3 3 1 2 1
## [22713] 1 1 1 1 1 1 3 2 1 2 1 1 1 3 3 2 1 1 2 2 3 3 2 1 3 1 3 1 1 2 1 3 1 1
## [22747] 3 1 3 3 3 2 3 1 3 2 3 2 2 3 3 1 1 3 1 1 1 3 1 1 1 1 1 3 1 1 1 3 3 1
## [22781] 1 1 1 3 2 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [22815] 1 1 1 1 3 1 3 3 1 3 1 1 1 3 3 1 3 3 3 3 3 1 3 2 3 1 3 1 1 2 1 3 1 3
## [22849] 1 1 3 2 2 1 3 2 3 2 3 3 3 3 1 3 3 3 2 1 1 3 3 2 1 3 1 1 1 2 1 3 3 3
## [22883] 3 1 1 1 3 3 3 3 3 2 2 2 1 3 3 2 1 3 3 3 3 3 1 3 3 1 3 3 3 2 3 1 1 1
## [22917] 3 3 2 1 1 2 2 1 3 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 3 1 1 3 1 1 1 1
## [22951] 3 3 1 3 1 3 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 3 1 3 3 1 3 1 3 1
## [22985] 1 1 1 1 3 3 3 1 3 1 1 1 1 1 1 2 1 1 2 3 1 1 1 1 3 1 3 3 3 3 3 1 1 1
## [23019] 3 1 1 1 3 3 1 2 2 1 1 1 1 1 1 3 1 1 1 3 1 2 3 1 1 1 3 2 1 3 1 3 3 1
## [23053] 3 1 3 1 3 3 1 1 1 3 2 3 1 3 3 3 1 3 1 3 1 2 1 1 3 1 2 3 1 3 1 2 1 3
## [23087] 1 3 1 1 1 1 1 3 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 3 3 3 1 3 1 1 1 1 1 1
## [23121] 1 1 2 1 1 1 1 1 3 1 3 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1
## [23155] 3 1 1 3 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [23189] 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 1 3 1 3 1
## [23223] 1 1 1 1 1 1 1 1 1 3 3 1 3 3 1 3 3 3 1 1 1 3 1 1 1 1 1 1 2 3 1 3 2 3
## [23257] 3 3 3 1 1 1 3 1 1 1 1 1 3 2 3 1 1 1 3 1 1 3 3 3 1 1 3 1 1 1 1 1 3 3
## [23291] 1 1 1 3 3 3 3 1 1 3 1 1 1 1 1 1 3 3 1 3 3 2 3 1 1 1 1 3 3 1 3 1 1 1
## [23325] 1 1 1 1 1 1 1 1 1 1 3 3 1 3 3 3 3 3 2 3 3 3 3 1 3 3 1 3 3 1 3 3 3 3
## [23359] 3 3 3 3 3 3 2 3 3 3 1 3 3 3 1 3 3 1 3 1 3 3 1 3 1 3 3 3 3 3 3 1 3 3
## [23393] 3 3 3 2 3 1 3 2 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 1 3 1 2 3 3 3 3 3 3 2
## [23427] 3 3 1 3 3 3 2 3 3 1 1 3 1 3 3 1 1 3 1 3 3 1 3 1 3 1 1 3 1 1 1 1 1 1
## [23461] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 3 3 3 3
## [23495] 1 1 1 3 3 3 3 3 1 1 1 1 3 2 2 1 3 3 1 3 3 1 2 1 1 3 3 3 1 3 1 1 1 1
## [23529] 3 3 3 3 1 1 2 1 3 1 3 3 3 3 1 3 3 2 1 3 1 3 3 3 3 3 1 3 3 3 3 1 1 1
## [23563] 1 3 3 1 1 2 2 3 1 3 3 3 3 1 1 1 3 3 1 1 1 1 3 1 1 1 1 1 1 1 1 3 3 1
## [23597] 1 1 1 1 1 1 3 1 3 3 1 1 3 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1
## [23631] 3 1 1 1 1 1 1 1 1 3 3 1 3 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1
## [23665] 1 1 1 1 1 1 3 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 3 3 1 3 1 1 3 3 1 1
## [23699] 3 1 1 3 1 1 1 1 1 1 3 3 1 1 1 3 1 1 3 3 1 3 1 1 1 1 1 3 1 3 1 1 3 3
## [23733] 3 3 3 1 1 3 1 1 1 3 3 1 1 2 3 1 1 3 1 1 1 3 3 1 3 1 1 1 1 1 1 1 3 1
## [23767] 1 3 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 3 3 1 3 1 3 1 1 1 1 1 1 1 1 3 3 3
## [23801] 1 3 1 1 1 1 3 2 1 3 3 3 3 1 3 1 1 3 1 1 1 1 3 3 1 1 3 1 3 1 3 1 3 1
## [23835] 1 3 3 3 3 1 1 1 1 1 1 1 1 1 1 3 3 3 2 1 1 1 1 3 1 3 3 1 1 1 1 1 3 3
## [23869] 3 3 1 1 1 1 1 1 3 3 1 3 3 1 1 1 1 1 1 3 1 1 3 1 1 3 1 3 3 1 2 3 3 3
## [23903] 3 1 3 1 3 2 3 3 3 1 1 1 1 1 3 3 3 1 2 1 1 1 1 1 3 3 3 1 3 3 3 1 3 1
## [23937] 3 1 3 3 1 3 1 3 1 1 3 3 3 3 1 3 1 1 1 3 3 1 3 3 1 1 3 3 3 1 1 1 3 1
## [23971] 3 1 2 3 3 2 3 1 3 1 1 3 3 3 1 2 3 1 1 1 3 3 1 3 1 2 1 3 3 3 3 1 3 1
## [24005] 2 1 1 3 1 1 1 3 1 1 2 1 1 1 3 1 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3
## [24039] 3 3 3 3 3 2 3 2 3 2 2 3 2 2 3 3 3 3 3 2 3 2 2 3 2 2 3 2 2 2 3 2 2 3
## [24073] 3 1 2 3 1 2 1 3 3 3 2 2 3 3 3 3 3 2 2 3 2 2 2 1 3 3 3 3 3 3 3 3 3 3
## [24107] 2 2 3 3 3 3 3 1 3 2 3 3 3 3 3 3 2 3 1 2 3 3 2 1 3 3 3 3 3 3 3 3 3 3
## [24141] 2 3 3 3 3 3 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 2 3 3 3 2 3 3 2
## [24175] 3 3 3 2 3 3 3 2 2 3 3 3 2 2 3 3 2 3 3 2 3 2 3 3 3 3 3 3 3 3 1 3 1 3
## [24209] 2 3 2 2 2 2 3 2 2 2 3 3 3 3 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3
## [24243] 3 3 3 2 3 3 3 3 2 3 2 3 3 2 1 3 3 3 3 3 3 1 3 3 3 3 3 3 3 2 3 2 3 3
## [24277] 2 3 3 3 3 1 3 2 3 3 3 3 2 3 3 3 3 3 3 2 2 1 1 3 3 3 2 2 3 3 3 3 1 1
## [24311] 2 3 2 3 2 3 3 1 3 3 3 3 3 2 3 3 3 2 3 2 3 1 3 3 2 3 3 2 3 3 3 3 3 3
## [24345] 1 3 3 1 1 3 3 3 3 3 2 3 3 2 2 3 3 1 3 2 2 3 2 3 3 2 3 3 3 3 3 3 3 2
## [24379] 3 3 1 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 2 2 3 3 3 3 2
## [24413] 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 2 2 2 2 2 3 2 3 2
## [24447] 2 2 3 3 2 2 3 3 3 3 3 3 3 2 2 2 3 1 2 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3
## [24481] 3 3 3 2 3 2 2 2 3 2 3 2 2 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 1 3 3 3
## [24515] 3 3 2 3 3 3 1 3 3 2 3 3 3 2 3 3 3 3 2 3 2 2 3 3 3 3 3 2 3 2 2 3 2 2
## [24549] 1 2 3 3 3 3 3 3 2 3 2 2 3 2 3 3 2 2 3 3 3 3 3 2 2 2 3 1 3 3 3 2 2 3
## [24583] 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3
## [24617] 3 3 3 3 2 3 3 3 3 3 1 3 3 3 1 3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 1 3 3 3
## [24651] 3 3 3 3 3 2 3 3 2 1 3 3 3 3 3 1 3 3 3 1 3 3 3 3 3 2 2 3 3 3 2 3 2 3
## [24685] 3 1 3 3 2 2 3 2 3 2 2 3 3 3 2 2 3 3 3 3 3 2 3 3 1 3 3 3 3 2 3 3 3 2
## [24719] 2 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 2 2 3 3 2
## [24753] 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3
## [24787] 2 3 3 3 3 3 3 3 3 3 2 3 2 3 2 2 3 3 3 2 2 3 2 3 3 3 2 3 3 3 2 3 3 3
## [24821] 3 3 2 3 3 3 2 3 3 3 3 2 3 2 3 2 3 3 3 2 3 3 3 3 3 3 2 2 3 3 3 1 3 3
## [24855] 2 2 3 3 3 3 1 1 3 2 3 3 3 2 3 2 3 2 3 3 2 2 3 3 3 1 3 3 3 3 3 2 3 3
## [24889] 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 2 3 2 1 3 3 3 2 2 2 2 2 2 3 2 3 3 3 3
## [24923] 3 3 3 3 3 3 3 2 3 2 2 3 3 2 3 2 3 3 3 1 3 3 2 3 3 2 2 3 3 3 2 2 2 2
## [24957] 3 2 2 3 3 2 2 1 3 3 3 3 1 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 2 3 3
## [24991] 3 3 1 3 2 2 2 2 3 3 3 3 3 2 3 2 3 3 2 2 2 3 3 2 3 3 3 3 3 2 2 3 3 3
## [25025] 2 3 2 2 3 3 3 3 3 1 2 1 3 1 3 2 3 3 3 1 3 3 3 3 3 3 3 3 2 2 3 2 2 3
## [25059] 1 3 3 1 3 3 2 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 1 2 3 3 3 3 3 1 3 3 3
## [25093] 3 3 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 2 1 3 3 3 3 3
## [25127] 3 3 3 2 3 2 3 3 3 1 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 1 1 1 3 3 1 3
## [25161] 1 3 3 1 3 2 3 3 3 1 1 3 3 3 1 2 3 3 3 3 2 3 3 1 3 2 3 2 2 1 2 1 3 1
## [25195] 1 1 3 3 1 1 3 3 3 2 3 3 2 3 2 3 3 2 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3
## [25229] 1 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 3 2 1 3
## [25263] 1 3 3 3 2 2 3 2 3 2 1 3 3 3 2 1 3 3 2 3 3 2 2 1 3 3 2 3 3 2 3 2 3 3
## [25297] 3 1 3 3 2 3 1 1 3 1 3 1 1 3 2 3 2 1 1 1 3 1 1 1 3 3 3 1 3 1 3 3 3 3
## [25331] 1 3 3 1 3 3 1 3 1 1 1 1 1 3 1 3 3 3 1 1 3 1 3 3 3 1 3 1 1 1 3 1 3 1
## [25365] 1 3 3 2 1 1 1 1 1 1 3 1 1 1 1 3 3 1 1 3 3 2 3 1 3 1 3 1 2 1 3 3 1 1
## [25399] 3 3 1 3 2 3 1 1 1 3 3 1 1 2 1 1 2 1 3 1 3 1 1 3 3 3 3 3 3 3 1 1 3 3
## [25433] 1 1 2 3 1 1 1 1 3 2 1 1 1 1 3 3 1 1 2 1 3 2 1 3 3 3 1 1 3 1 1 1 1 1
## [25467] 3 1 1 1 1 3 3 3 1 1 3 1 1 1 1 1 1 3 3 1 2 1 1 1 3 1 3 1 1 1 3 1 3 3
## [25501] 1 2 3 3 3 3 3 1 1 2 3 2 3 3 1 1 2 3 3 3 1 3 3 1 2 1 3 3 1 3 2 1 3 1
## [25535] 1 3 1 1 2 3 3 3 1 3 1 3 3 1 2 3 1 3 3 1 3 3 3 1 3 1 3 1 3 1 1 2 1 2
## [25569] 1 2 2 2 1 1 1 3 2 3 1 1 1 1 3 1 1 3 2 3 1 1 1 3 3 3 1 1 3 3 1 1 1 1
## [25603] 3 3 3 1 3 3 1 3 3 3 3 3 1 1 1 3 3 3 3 3 2 3 3 1 1 1 1 1 3 3 1 1 1 1
## [25637] 2 1 3 2 2 3 1 1 3 1 1 1 1 2 3 3 3 3 1 1 1 3 1 3 3 1 3 3 1 3 3 1 1 1
## [25671] 1 3 3 1 3 1 1 1 3 3 3 1 3 1 3 3 2 2 3 1 1 3 3 1 1 3 1 3 1 3 1 2 1 1
## [25705] 3 3 3 3 3 1 3 1 2 3 1 3 1 2 1 1 1 3 1 2 3 3 1 3 3 1 3 1 3 1 3 1 3 3
## [25739] 3 3 1 3 2 1 1 1 1 1 3 1 1 3 3 1 2 3 1 3 2 1 1 3 3 2 2 1 3 3 3 2 1 3
## [25773] 3 1 3 3 3 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 2 1 1 1 3 3 3 1 1 3 1
## [25807] 1 3 3 3 3 1 1 1 2 3 2 1 1 1 1 1 1 1 1 2 1 1 2 3 1 1 2 3 1 1 1 3 3 3
## [25841] 2 3 2 3 2 3 2 3 3 3 3 1 3 2 1 3 3 2 3 1 3 3 3 3 2 2 3 2 3 2 3 3 2 2
## [25875] 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 3 3 3 3 3 3 3 3 2 3 2 3 3
## [25909] 3 3 3 3 3 3 2 2 2 3 3 2 3 3 3 3 2 2 2 1 3 3 3 2 1 3 3 3 1 3 3 3 1 3
## [25943] 3 3 3 2 3 3 1 1 3 1 3 2 1 3 1 1 1 2 1 1 3 3 1 1 1 3 3 3 1 1 1 3 1 3
## [25977] 3 1 3 3 2 2 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 2 3 3 3 2 3 1
## [26011] 2 3 3 3 3 3 2 3 1 3 3 2 1 3 3 3 3 2 3 3 3 3 3 3 3 1 3 1 3 3 1 3 2 2
## [26045] 2 3 3 2 2 3 1 1 2 3 2 1 3 3 3 1 3 2 1 3 3 3 3 3 3 1 1 3 3 3 3 1 3 3
## [26079] 1 3 3 3 2 1 2 3 1 3 1 3 3 3 2 3 2 2 3 2 3 2 1 2 2 2 1 1 3 2 2 3 3 3
## [26113] 3 1 3 3 2 3 3 3 3 3 3 1 3 3 2 2 3 2 2 3 3 3 3 2 3 3 2 2 2 2 3 1 1 3
## [26147] 3 2 3 3 3 2 3 1 1 3 3 2 3 2 3 3 3 1 3 2 2 1 1 2 3 3 3 3 2 3 1 3 1 1
## [26181] 1 1 3 3 2 3 1 3 3 1 1 1 1 3 3 1 3 3 3 3 1 3 1 1 3 2 3 1 1 1 1 3 2 3
## [26215] 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 1 3 3 3 3 1 3 3 3 3 1 3 3 1 3 3 3 3 3
## [26249] 1 1 3 3 3 1 3 1 1 1 3 2 2 3 3 3 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 1 3 3
## [26283] 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 1 3
## [26317] 1 3 2 1 1 3 2 2 3 1 2 2 3 3 3 3 2 3 3 2 2 3 3 1 3 3 3 3 3 3 3 2 3 3
## [26351] 3 1 3 3 3 2 3 3 2 1 2 3 3 3 3 2 2 3 3 3 3 3 3 1 1 2 1 1 3 1 3 2 1 2
## [26385] 3 3 2 3 1 1 1 1 2 3 2 1 3 3 1 1 1 2 1 3 3 3 3 3 1 3 1 3 3 3 3 1 1 3
## [26419] 1 3 3 1 1 3 2 3 1 1 3 2 2 1 1 1 1 1 1 1 3 3 2 3 2 3 3 1 1 1 2 3 1 3
## [26453] 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 1 3 2 3 3 1 3 3 1 3 3 1 3 2 3 1 3
## [26487] 3 3 3 3 1 1 1 3 3 3 3 1 1 2 3 1 1 1 2 3 3 3 3 1 3 3 3 2 3 3 2 2 2 3
## [26521] 3 3 3 3 3 3 3 3 1 3 1 3 3 3 2 3 1 3 1 3 3 3 1 3 3 1 2 3 3 1 2 3 2 3
## [26555] 2 1 3 3 2 3 1 3 1 3 3 3 1 2 3 3 3 2 1 3 3 1 1 3 3 1 3 3 3 3 3 1 3 2
## [26589] 2 1 1 3 3 1 3 1 3 3 1 1 3 3 1 1 3 1 3 3 1 1 3 3 1 3 3 3 3 2 3 3 3 3
## [26623] 1 3 1 3 3 2 1 2 2 1 2 3 1 3 2 3 3 2 1 3 3 3 3 2 3 3 2 3 3 3 3 1 3 3
## [26657] 3 3 3 3 3 1 1 3 3 3 3 3 3 1 2 2 1 3 2 3 3 3 1 3 3 3 3 1 3 3 1 3 3 3
## [26691] 1 3 1 1 1 2 3 1 3 3 2 1 1 3 3 2 3 3 1 1 2 3 3 3 1 3 3 1 1 1 1 1 1 1
## [26725] 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 2 1 1 1 3 1 1 3 1 3 3 3 3 1
## [26759] 3 1 3 3 1 1 3 3 1 1 1 1 3 1 3 1 1 3 3 3 3 1 1 1 3 3 3 1 3 3 3 1 3 3
## [26793] 1 3 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 3 3 1 1 1 1 3 1 3 3 1 3 3 3 3 2
## [26827] 3 3 3 1 3 1 3 1 3 3 1 3 1 3 1 1 1 1 3 3 1 2 1 3 3 3 1 3 1 1 1 1 1 3
## [26861] 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 3 1
## [26895] 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 3 3 1 1 3 1 3 1
## [26929] 1 3 1 3 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 3 2 1 3 3 1 1 1 3 1 1 1 3 1 3
## [26963] 1 1 1 1 1 1 1 3 1 2 1 3 3 3 2 1 3 3 1 2 1 1 3 1 1 1 1 1 1 1 3 2 1 1
## [26997] 1 1 1 3 3 3 3 1 3 1 3 3 1 3 2 1 1 3 3 3 1 1 3 2 3 2 1 1 3 3 1 3 3 3
## [27031] 3 1 3 1 1 3 1 1 3 3 1 1 3 3 2 3 1 2 3 3 1 3 1 1 3 3 1 3 3 1 3 3 1 1
## [27065] 1 3 2 1 1 3 1 3 1 1 1 3 1 2 1 1 2 3 3 1 3 3 3 1 1 3 3 1 1 1 1 3 1 3
## [27099] 1 1 1 3 1 2 3 3 3 1 1 2 3 1 1 3 1 3 1 1 1 2 2 1 1 2 2 2 1 3 1 3 2 1
## [27133] 2 2 1 3 3 1 2 1 3 2 2 1 1 2 3 3 2 1 2 2 1 1 2 1 2 1 2 1 1 2 1 1 3 1
## [27167] 1 2 1 1 3 3 2 2 3 1 1 2 3 3 2 3 2 2 2 1 2 3 2 2 2 1 3 2 1 1 3 2 3 1
## [27201] 3 2 2 3 2 2 3 3 3 2 2 2 3 2 2 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [27235] 1 1 3 1 3 1 1 1 1 1 3 3 1 1 1 3 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [27269] 1 3 1 1 1 3 1 2 1 2 2 1 3 3 3 1 1 3 1 3 3 1 3 3 3 1 3 1 1 1 1 3 1 3
## [27303] 1 1 1 3 1 1 1 1 3 1 3 1 1 3 3 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [27337] 3 2 1 2 3 1 1 1 1 2 1 3 3 1 1 1 3 1 3 1 3 3 1 3 1 1 3 1 3 1 1 3 3 1
## [27371] 1 1 3 1 3 1 3 1 1 3 2 1 3 3 1 1 1 3 1 3 3 1 1 3 2 1 3 3 1 2 3 3 3 1
## [27405] 3 3 1 1 1 2 1 3 3 3 1 3 3 1 1 1 3 1 1 1 1 3 3 1 1 1 2 3 3 3 3 1 3 1
## [27439] 3 1 1 3 1 1 3 1 2 3 1 3 3 3 3 3 3 2 3 1 1 1 3 1 1 1 3 1 1 3 1 3 3 1
## [27473] 2 3 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1
## [27507] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 1 1 3 3 1 1 1 3 1 3 3 3
## [27541] 2 1 3 1 1 3 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [27575] 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1
## [27609] 1 3 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1
## [27643] 1 1 3 1 3 3 3 1 2 2 2 1 1 3 1 1 1 1 3 1 1 3 3 1 3 3 3 1 3 3 1 3 3 1
## [27677] 3 3 2 1 3 2 3 3 3 1 1 1 1 3 1 1 3 1 1 1 3 3 1 1 3 1 1 1 1 3 3 3 1 1
## [27711] 3 1 1 1 3 3 3 1 3 2 3 1 1 1 1 1 2 1 3 1 1 1 3 3 3 1 1 3 1 1 3 3 1 3
## [27745] 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 3 1 3 1 3 1 2 1 3
## [27779] 1 1 3 1 1 1 1 3 1 1 3 2 3 1 1 1 3 1 1 1 3 1 1 3 1 3 3 1 1 1 1 1 1 1
## [27813] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 3 1 3 1 1 1 3 1 1 1
## [27847] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 2 1
## [27881] 2 2 3 3 2 2 1 3 3 3 1 3 2 2 1 3 2 1 3 3 1 3 2 2 1 2 3 3 2 3 2 1 2 2
## [27915] 2 2 1 3 2 3 3 3 2 2 3 2 2 2 2 2 2 3 2 2 1 3 2 3 3 2 2 2 2 2 3 2 3 2
## [27949] 3 1 2 1 1 2 1 2 2 2 2 1 3 2 2 1 3 1 1 3 2 2 1 3 1 2 1 3 3 3 3 2 3 2
## [27983] 3 3 2 1 1 3 2 1 3 2 1 2 3 3 3 2 3 2 2 1 1 2 2 2 2 3 2 2 2 2 2 2 3 3
## [28017] 1 2 2 3 3 3 1 2 3 1 1 3 2 3 3 3 3 3 3 1 2 3 1 2 3 1 2 3 1 1 3 3 2 1
## [28051] 1 3 1 2 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 1 1 1 1
## [28085] 1 1 3 1 1 1 1 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1
## [28119] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [28153] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [28187] 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1 3 1 1 3 1 1 1 3 1 1 1
## [28221] 2 3 1 3 1 1 3 1 3 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1
## [28255] 1 1 1 1 3 1 1 1 2 1 1 3 1 3 1 1 1 1 1 1 3 1 3 1 1 2 1 1 1 1 1 1 3 2
## [28289] 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [28323] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [28357] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [28391] 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 3 3 1 1 1 3 1 1 1 1 3 1 1
## [28425] 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [28459] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 3 2 2 1 2 2 2 1 2 3 1 1 1 1 1 2 1
## [28493] 1 1 3 1 3 3 1 1 1 1 1 2 3 2 2 2 3 1 3 1 1 3 1 3 1 1 1 3 3 1 1 3 1 3
## [28527] 3 1 1 2 2 1 1 1 3 3 1 3 1 1 1 1 1 1 3 1 2 2 2 1 1 2 3 1 3 3 3 3 1 1
## [28561] 3 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1
## [28595] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 3 1
## [28629] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [28663] 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [28697] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 2 3 3 1 3 2 1 1 1
## [28731] 3 2 3 3 1 1 1 1 1 2 3 3 1 1 3 1 1 3 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1
## [28765] 3 3 1 1 1 3 1 1 3 1 3 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 1 3 1
## [28799] 2 3 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 1 1 1 1 2 3 1
## [28833] 3 1 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 3 1 1 1 3 3 1 1 1 1 3 1 1 1 1
## [28867] 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 3 1
## [28901] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 3 1 3 1 3 1 1 1
## [28935] 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3
## [28969] 3 1 2 3 3 1 1 3 2 1 3 3 3 1 3 3 3 1 3 3 1 1 1 3 3 1 3 1 3 1 1 3 1 1
## [29003] 1 3 3 3 3 3 3 1 1 3 1 1 1 1 1 3 3 3 2 1 1 1 1 1 3 3 1 1 3 1 1 3 1 1
## [29037] 1 3 3 3 1 3 1 3 3 3 3 3 3 1 3 3 1 3 2 1 3 2 3 2 2 3 3 3 3 2 3 3 2 2
## [29071] 2 1 3 2 3 3 3 2 2 1 3 3 2 1 3 1 2 3 3 2 2 3 2 1 2 3 3 3 1 3 2 2 3 2
## [29105] 2 3 2 2 3 3 2 3 3 1 2 2 3 3 2 3 2 2 2 3 2 3 2 1 1 1 1 1 1 3 1 1 1 1
## [29139] 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [29173] 1 3 1 3 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3
## [29207] 3 1 1 1 3 1 1 3 1 1 3 3 1 1 1 1 1 1 3 1 1 2 1 1 1 3 3 1 3 3 3 3 1 1
## [29241] 3 1 1 3 3 1 3 1 3 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [29275] 1 1 1 1 1 1 1 1 1 2 1 3 3 3 3 3 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 3 3 3
## [29309] 1 3 1 3 3 3 1 3 3 3 3 1 1 3 1 1 2 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1 3 1
## [29343] 3 3 3 1 1 3 3 2 1 1 3 3 3 3 3 1 1 3 3 3 3 3 3 3 1 3 1 3 3 3 1 1 3 3
## [29377] 3 3 1 3 3 3 1 3 3 1 1 3 3 1 3 3 1 3 3 1 1 3 1 3 2 1 1 2 3 3 3 3 2 3
## [29411] 1 3 3 1 3 3 2 3 1 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1
## [29445] 3 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1
## [29479] 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 3 1 3 1 1 1 3 3 1 3 3 3 3 1 1 1 1 3
## [29513] 3 2 3 3 3 1 1 3 2 1 3 3 3 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 3 1
## [29547] 3 1 3 1 3 3 1 3 1 1 1 3 1 1 3 1 2 1 1 1 1 3 1 1 3 2 1 3 3 3 3 3 1 3
## [29581] 3 2 3 3 1 3 1 1 3 1 3 1 1 3 1 1 3 2 3 1 1 3 3 1 3 1 1 1 1 1 3 1 1 1
## [29615] 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1
## [29649] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 1 1 3 3 1 1 1 1 1 1 3 1
## [29683] 3 1 1 1 1 1 1 1 1 3 3 1 1 3 3 1 1 1 1 3 1 3 3 3 1 3 1 1 1 1 1 3 3 3
## [29717] 1 3 1 3 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 3 1 3
## [29751] 1 1 1 3 1 3 1 3 1 1 1 3 1 1 1 1 1 3 3 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1
## [29785] 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [29819] 3 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 2 1 1 1 3 1 1
## [29853] 3 1 1 3 1 1 3 1 1 2 2 1 3 1 1 3 2 3 3 3 1 1 1 1 3 1 1 1 3 3 1 1 1 1
## [29887] 2 3 1 3 1 3 1 1 1 1 3 3 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 1
## [29921] 1 3 1 3 1 1 1 3 3 1 1 1 1 1 2 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [29955] 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 3 3 1 1 1 1 3 1 1
## [29989] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1
## [30023] 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1
## [30057] 3 3 3 1 1 3 1 3 3 3 3 3 1 3 1 3 1 1 1 3 1 3 3 3 3 1 1 3 1 3 3 3 3 1
## [30091] 3 3 3 3 1 3 1 3 1 3 3 3 2 3 3 3 3 3 1 1 1 1 3 1 3 3 3 3 2 3 3 3 2 2
## [30125] 3 1 1 1 1 1 1 3 3 2 3 1 3 2 3 1 1 1 2 3 1 3 3 1 1 3 1 3 1 3 1 3 1 1
## [30159] 1 3 3 3 1 1 1 1 3 1 3 1 1 1 1 1 3 1 3 1 3 1 1 1 1 3 1 3 1 3 2 1 1 1
## [30193] 1 2 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 1 3 1 1 1 1 1 1 1 1 1 2
## [30227] 1 1 1 1 1 1 3 1 1 3 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 3
## [30261] 1 1 3 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [30295] 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1
## [30329] 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [30363] 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1
## [30397] 3 1 1 1 3 1 1 1 3 3 3 3 1 3 3 1 3 3 3 1 3 3 3 1 1 1 1 1 1 3 3 1 3 1
## [30431] 1 1 3 3 1 1 1 1 3 3 1 3 1 1 3 3 3 3 3 3 3 3 1 3 3 1 3 3 3 1 3 1 1 1
## [30465] 1 1 1 3 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 3 1 1 1 1 1 1 1
## [30499] 1 1 3 1 1 1 3 1 1 3 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [30533] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3
## [30567] 1 1 1 1 3 1 1 1 1 3 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 3 1 1 3 1 1 1 1
## [30601] 1 3 1 3 1 3 1 1 1 1 3 3 1 1 1 1 3 1 1 3 3 1 3 3 3 3 1 3 3 3 3 1 1 3
## [30635] 3 3 3 1 1 3 3 3 1 3 1 1 3 1 3 1 1 1 1 3 3 1 1 3 3 1 1 1 1 3 3 3 1 3
## [30669] 3 1 3 1 3 1 1 1 3 1 1 1 1 3 1 1 1 3 1 3 3 1 1 3 3 1 3 3 3 3 3 1 3 3
## [30703] 3 1 3 1 1 3 1 3 1 3 3 1 1 3 1 1 1 1 1 3 3 3 1 1 1 1 1 3 3 3 3 1 3 3
## [30737] 3 3 1 3 1 3 3 3 1 3 3 1 3 3 3 1 1 3 3 1 3 1 3 1 3 3 3 1 3 1 1 2 1 3
## [30771] 1 1 1 3 3 1 1 3 3 1 1 3 3 1 3 3 3 3 3 1 1 3 3 1 3 1 3 3 1 1 3 3 3 3
## [30805] 1 3 1 3 2 3 1 1 3 3 3 2 1 3 2 1 1 1 3 1 3 1 3 1 2 1 3 3 3 1 3 1 3 1
## [30839] 3 1 3 1 3 1 1 1 1 1 1 3 1 1 3 3 3 3 3 3 1 3 3 3 1 3 3 3 3 3 3 1 1 3
## [30873] 1 3 3 1 3 1 1 1 3 1 1 1 3 3 1 3 3 1 3 3 3 1 3 1 2 1 3 1 1 1 1 1 3 2
## [30907] 1 3 1 3 1 3 1 3 1 3 3 3 3 3 1 3 3 2 3 3 3 3 3 1 1 1 3 2 2 3 1 1 3 1
## [30941] 1 1 3 1 1 1 3 3 1 3 3 1 3 1 3 1 3 3 1 3 3 1 3 1 1 1 1 3 3 3 1 3 1 1
## [30975] 3 3 1 1 1 1 1 3 3 1 3 3 1 3 1 1 1 1 3 1 1 1 3 1 1 1 3 1 3 1 1 3 1 3
## [31009] 1 1 3 1 3 3 1 1 1 1 3 1 1 1 1 1 2 1 3 1 1 1 3 2 2 1 3 1 2 1 3 3 3 3
## [31043] 2 3 2 3 3 2 1 1 3 2 1 3 2 1 2 3 3 3 2 3 2 2 1 1 2 2 2 2 3 2 2 2 2 2
## [31077] 2 3 3 1 2 2 3 3 3 1 2 3 1 1 3 2 3 3 3 3 3 3 3 3 1 2 3 1 2 3 1 2 3 1
## [31111] 1 3 3 2 1 1 3 1 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 1 2 2 1 2 2 2 2 3
## [31145] 2 2 1 2 3 2 2 2 2 2 3 3 2 2 2 2 2 3 2 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2
## [31179] 2 1 2 3 2 2 2 2 2 2 1 1 1 1 1 3 1 1 2 2 3 2 3 2 1 3 2 2 1 2 2 2 2 1
## [31213] 2 2 2 2 2 2 3 3 3 3 3 3 1 3 3 3 3 3 1 1 3 1 3 1 3 1 1 3 3 1 3 2 2 3
## [31247] 1 1 3 1 3 1 3 3 2 1 3 1 2 1 1 1 3 3 3 1 1 1 3 3 3 2 3 3 2 3 3 2 3 2
## [31281] 1 2 1 3 2 1 3 3 3 3 3 3 3 2 3 2 1 2 1 2 1 3 3 3 1 3 2 2 3 2 3 1 2 3
## [31315] 3 1 3 3 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 3 3 1 1 3 1 1 1 1 1 2 3 1 1
## [31349] 1 1 3 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 3 3 1 3 3 3 3 1 3 1 3
## [31383] 1 1 3 1 3 3 3 1 1 1 1 1 1 1 1 1 3 2 3 1 3 3 1 1 1 1 1 1 1 3 3 1 3 1
## [31417] 1 1 3 2 2 2 2 2 3 2 2 1 2 2 1 2 3 2 2 2 3 2 2 2 2 3 2 2 2 1 2 2 3 1
## [31451] 3 2 1 2 3 2 3 1 2 2 2 2 2 1 1 2 1 1 3 2 2 3 2 2 3 3 3 3 3 2 1 3 3 3
## [31485] 3 2 3 2 1 1 2 2 1 3 2 2 2 1 2 2 3 1 2 2 3 2 2 1 2 2 1 1 2 3 2 2 1 3
## [31519] 1 1 3 1 1 1 1 1 3 3 3 3 3 3 1 1 2 1 1 1 1 3 1 1 1 1 3 1 1 3 3 3 1 3
## [31553] 1 3 3 1 1 3 1 1 3 1 1 1 1 3 1 2 1 1 3 3 3 1 1 1 3 3 1 1 3 1 1 3 1 3
## [31587] 3 1 1 1 1 3 1 1 3 1 3 1 1 1 2 1 2 3 3 1 3 1 3 3 1 1 1 1 1 3 2 2 3 2
## [31621] 2 2 2 2 2 2 2 2 2 2 2 2 3 1 2 3 2 2 2 3 2 2 2 2 2 3 2 2 2 2 2 3 2 2
## [31655] 3 2 3 2 2 3 2 2 2 3 2 3 2 2 3 2 2 2 1 2 2 2 2 2 3 2 2 2 2 2 3 2 2 3
## [31689] 2 1 2 3 3 1 2 1 2 2 2 2 2 3 2 2 3 3 2 2 3 2 1 1 1 3 1 1 1 3 3 1 3 1
## [31723] 3 1 1 3 1 1 1 3 1 3 3 1 3 1 1 1 3 3 3 1 1 1 1 1 1 1 1 2 2 3 1 1 1 3
## [31757] 3 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 3 1 1 2 2 2 1 1 1 1 1 3 2 3 1 1 3 1
## [31791] 3 3 3 3 1 2 3 1 1 2 1 2 1 3 3 3 2 2 1 1 1 3 1 3 2 3 3 2 1 1 3 2 3 2
## [31825] 3 2 2 2 3 2 2 3 3 3 2 2 1 3 2 3 3 3 1 2 1 3 2 2 3 3 1 3 1 2 2 3 2 3
## [31859] 1 1 2 2 2 1 1 2 2 2 2 2 3 2 1 2 3 2 1 3 2 2 2 2 2 2 1 2 2 2 2 1 2 2
## [31893] 1 2 1 2 2 2 2 2 1 3 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 1 3 2 2 1 1 2 3 2
## [31927] 3 1 1 2 2 2 1 1 3 3 2 2 1 1 2 2 1 1 2 1 3 1 1 2 2 2 1 3 1 2 2 1 3 3
## [31961] 2 3 3 1 2 2 3 1 1 1 3 1 3 1 3 1 1 1 2 3 3 3 1 1 1 3 3 3 1 3 1 1 1 1
## [31995] 3 3 1 1 1 3 3 3 3 3 3 1 2 1 3 3 1 1 3 1 3 3 1 1 1 1 3 1 3 1 1 1 1 3
## [32029] 3 1 1 3 3 1 1 3 3 1 3 3 1 3 3 1 3 3 1 1 1 2 3 1 3 1 1 1 3 1 3 3 1 1
## [32063] 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [32097] 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [32131] 1 1 3 1 1 3 1 1 3 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [32165] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 3 1 1
## [32199] 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 3 3
## [32233] 3 3 1 1 3 3 3 1 1 3 3 3 1 3 3 3 3 3 1 3 3 1 1 1 3 1 3 3 1 1 1 1 1 1
## [32267] 2 3 3 1 1 3 3 1 3 1 1 3 1 3 3 3 3 1 3 3 1 1 3 1 1 1 1 1 1 3 3 1 3 3
## [32301] 3 1 1 3 1 3 3 3 1 3 1 3 1 3 1 1 1 1 1 2 3 1 3 1 1 3 2 2 2 3 3 2 2 1
## [32335] 1 3 1 1 1 2 1 1 2 1 1 2 1 3 1 3 1 2 1 2 1 3 2 1 1 2 1 3 1 3 1 1 3 2
## [32369] 1 1 3 1 1 1 3 1 2 1 3 3 2 2 2 2 1 1 2 1 3 3 3 1 3 3 3 3 3 3 3 3 3 3
## [32403] 2 3 1 3 3 2 2 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [32437] 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 3 1
## [32471] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1
## [32505] 3 1 3 3 1 3 1 3 1 1 1 1 1 1 3 3 1 1 3 3 1 1 1 3 3 3 1 1 3 2 1 1 1 1
## [32539] 1 1 1 1 3 1 3 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1
## [32573] 1 3 3 3 1 1 1 1 1 3 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2
## [32607] 2 2 2 2 2 2 2 2 2 2 2 1 2 3 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 3 2 2 2 2
## [32641] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [32675] 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 3
## [32709] 3 3 1 1 1 1 3 1 3 1 1 1 3 3 1 3 1 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1
## [32743] 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 3 3 1 3 1 2 3 3 3 3 3 1 1 3 1 3 3 3
## [32777] 3 3 3 1 2 3 1 3 1 3 3 1 1 1 1 3 2 1 3 3 1 2 1 3 3 3 3 3 3 1 3 2 3 3
## [32811] 2 3 1 1 2 3 2 1 1 2 1 2 3 1 3 3 1 1 1 2 1 2 2
##
## Within cluster sum of squares by cluster:
## [1] 1.041650e+13 8.540129e+12 7.480870e+12
## (between_SS / total_SS = 77.5 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss"
## [5] "tot.withinss" "betweenss" "size" "iter"
## [9] "ifault"table(kmeans_fit2$cluster, features2$playlist_genre)##
## edm latin pop r&b rap rock
## 1 3559 2739 2929 1961 2978 1497
## 2 741 292 286 698 485 834
## 3 1743 2124 2292 2772 2283 2620plotcluster(input,kmeans_fit2$cluster,xlab="Number of groups") 
fviz_cluster(kmeans_fit2, data = input)
n_clust<-fviz_nbclust(input[1:1000,], kmeans, method = "wss")
n_clust<-n_clust$data
n_clust %>% rename(Number_of_clusters=clusters,Within_sum_of_squared_error=y) %>%
mutate(Within_sum_of_squared_error = color_tile("white", "red")(Within_sum_of_squared_error)) %>%
kable("html", escape = F) %>%
kable_styling("hover", full_width = F) %>%
column_spec(2, width = "5cm") %>%
row_spec(3:3, bold = T, color = "white", background = "grey")| Number_of_clusters | Within_sum_of_squared_error |
|---|---|
| 1 | 1.191997e+12 |
| 2 | 5.466285e+11 |
| 3 | 3.070091e+11 |
| 4 | 1.973339e+11 |
| 5 | 1.370326e+11 |
| 6 | 1.091565e+11 |
| 7 | 7.225163e+10 |
| 8 | 6.101209e+10 |
| 9 | 5.167522e+10 |
| 10 | 4.697823e+10 |
We observe that the within sum of squared error of clusters stablized when k becomes equal to 4 which was also infered from the elbow curve above.
Hierarchical Clustering
Hierarchical clustering is an alternative approach to clustering which builds a hierarchy from the bottom-up, and doesn’t require us to specify the number of clusters beforehand. There are two types of hierarchical clustering
Agglomerative - Each data point is considered a separate cluster initially and at each iteration, similar clusters merge with other clusters util one or desired number of clusters are formed.
Divisive -It’s the opposite of Agglomerative clustering. All data points are considered into a single cluster and then are separated further until we get the desired number of clusters.
Process: 1) Compute proximity/dissimilarity/distance matrix. This is the backbone of our clustering. It is a mathematical expression of how different or distant the data-points are from each other.
- There are many ways to calculate dissimilarity between clusters. These are the linkage methods.
- MIN
- MAX
- Group Average
- Ward’s method
- Let each data point be a cluster.
- Merge the 2 closest clusters based on the distances from the distance matrix and as a result the amount of clusters goes down by 1. 5)Update proximity/distance matrix and repeat step 4 until desired clusters remain.
Let us see how well the hierarchical clustering algorithm performs on our dataset. We will use hclust() for this which requires us to provide the data in the form of a distance matrix. We will create this by using dist().
clusters <- hclust(dist(input))plot(clusters, xlab="Clusters",
ylab="Height of dendogram")
clusterCut <- cutree(clusters, 6)
table(clusterCut, features$playlist_genre)##
## clusterCut edm latin pop r&b rap rock
## 1 3715 3722 4165 3184 3156 2795
## 2 1161 701 611 582 1405 389
## 3 546 557 540 1220 898 1177
## 4 389 131 153 372 233 415
## 5 220 39 35 68 35 168
## 6 12 5 3 5 19 7plot(clusters, xlab="Clusters",
ylab="Height of dendogram")
rect.hclust(clusters , k = 3, border = 2:6)
abline(h = 3, col = 'red')
spotify_scale <- scale(features, center = T, scale = T)RNGkind(sample.kind = "Rounding")## Warning in RNGkind(sample.kind = "Rounding"): non-uniform 'Rounding'
## sampler usedkmeansTunning <- function(data, maxK){
withinall <- NULL
total_k <- NULL
for (i in 2: maxK){
set.seed(101)
temp <- kmeans(data,i)$tot.withinss
withinall <- append(withinall, temp)
total_k <- append(total_k,i)
}
plot(x = total_k, y = withinall, type = "o", xlab = "Number of Cluster", ylab = "Total Within")
}
kmeansTunning(spotify_scale, maxK = 20)## Warning: did not converge in 10 iterations## Warning: did not converge in 10 iterations
Comparison
Clustering is rather a subjective statistical analysis and there can be more than one appropriate algorithm, depending on the dataset at hand or the type of problem to be solved. So choosing between k-means and hierarchical clustering is not always easy.
If you have a good reason to think that there is a specific number of clusters in your dataset (for example if you would like to distinguish diseased and healthy patients depending on some characteristics but you do not know in which group patients belong to), you should probably opt for the k-means clustering as this technique is used when the number of groups is specified in advance.
Efficient: Time complexity: O(tkn), where n is the number of data points, k is the number of clusters, and t is the number of iterations. Since both k and t are small. k-Means is considered a linear algorithm
In addition to this, if you are still undecided note that, on the one hand, with a large number of variables, k-means may be computationally faster than hierarchical clustering if the number of clusters is small.
If you do not have any reason to believe there is a certain number of groups in your dataset (for instance in marketing when trying to distinguish clients without any prior belief on the number of different types of customers), then you should probably opt for the hierarchical clustering to determine in how many clusters your data should be divided.
Conceptually Simple: Theoretical properties are well understood. When Clusters are merged /split, the decision is permanent => the number of different alternatives that need to be examined is reduced.
On the other hand, the result of a hierarchical clustering is a structure that is more informative and interpretable than the unstructured set of flat clusters returned by k-means. Therefore, it is easier to determine the optimal number of clusters by looking at the dendrogram of a hierarchical clustering than trying to predict this optimal number in advance in case of k-means.
Based in our dataset, K-means is the best choice and provides the best outcome.
Summary
Problem Statement The analysis was intended to understand the evolution of music over time as well as understand the characterisitcs of various genres of music. In addition to that, we also identified the underlying patterns and relationsships of various features that describe music using spotify data.
Methodology
We started by looking at correlations amongst various features followed by the distributions for each of these features. We then examined the top artists within each genre using tree map. This was followed by looking at variability of characteristics amongst the 6 genres using radar charts. We then analysed how various major features evolved in the past decade. Lastly, we performed k-means clustering to understand commonalities between various genres and found the optimal number of clusters using elbow method.
Insights
Energy is highly positively correlated with loudness while it is highly negatively correlated with acousticness. A lot of songs high a popularity score of 0, which means a lot of songs haven’t been explored yet. For Genres EDM, rock, pop, rap, latin and r&b, the top artists are Martin Garrix, Queen, The Chainsmoker, Logic, Don Omar and Bobby Brown respectively. Latin music is most loudest as well as most danceable among all genres. R&b and rap tracks tend to have relatively less energy as compared to other genres, while EDM has the highest acousticness. Interestingly, songs are getting shorter by the year, while also becoming danceable over time. Even though we have six genres in the data, as per clustering technique we got only 3 optimal clusters which means a lot of the genres are very similar.
Implications
This analysis was conducted to explore the evolution of music over time and also diving deeper to understand trends in what makes a song more danceable than others can help DJs, artists, and producers create music based on characteristics like tempo or level of speechiness.
Netflix has a commendable job by leveraging data to produce video content, and the next music revolution could be brought in by similar techniques.
Limitations
Even though there are millions of songs that exist, we only had about 32k records for our analysis, and hence we couldn’t obtain a full picture of the features of music.
Also the analysis could be strengthened by incorporating user related features like their demographical attributes, user history etc.